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Finding the Fourth Proportional to 643,815,270.40, 965,722,905.60 and 512,301,337.60

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Solution

The fourth proportional to 643,815,270.40, 965,722,905.60 and 512,301,337.60 is: 768,452,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,815,270.40 : 965,722,905.60 = 512,301,337.60 : x
  2. Step 2: Convert to fraction form
    643,815,270.40/965,722,905.60 = 512,301,337.60/x
  3. Step 3: Cross multiply
    643,815,270.40x = 965,722,905.60 × 512,301,337.60
  4. Step 4: Simplify right side
    643,815,270.40x = 494,741,136,289,838,592
  5. Step 5: Solve for x
    x = 494,741,136,289,838,592/643,815,270.40
  6. Step 6: Final answer
    x = 768,452,006.40

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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.