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Finding the Fourth Proportional to 523,233,640.80, 784,850,461.20 and 512,484,098.40

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Solution

The fourth proportional to 523,233,640.80, 784,850,461.20 and 512,484,098.40 is: 768,726,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,233,640.80 : 784,850,461.20 = 512,484,098.40 : x
  2. Step 2: Convert to fraction form
    523,233,640.80/784,850,461.20 = 512,484,098.40/x
  3. Step 3: Cross multiply
    523,233,640.80x = 784,850,461.20 × 512,484,098.40
  4. Step 4: Simplify right side
    523,233,640.80x = 402,223,380,986,906,176
  5. Step 5: Solve for x
    x = 402,223,380,986,906,176/523,233,640.80
  6. Step 6: Final answer
    x = 768,726,147.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.