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Finding the Fourth Proportional to 523,008.80, 784,124.40 and 286,618.40

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Solution

The fourth proportional to 523,008.80, 784,124.40 and 286,618.40 is: 429,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,008.80 : 784,124.40 = 286,618.40 : x
  2. Step 2: Convert to fraction form
    523,008.80/784,124.40 = 286,618.40/x
  3. Step 3: Cross multiply
    523,008.80x = 784,124.40 × 286,618.40
  4. Step 4: Simplify right side
    523,008.80x = 224,744,480,928.96
  5. Step 5: Solve for x
    x = 224,744,480,928.96/523,008.80
  6. Step 6: Final answer
    x = 429,714.53

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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.