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Finding the Fourth Proportional to 816,507,002.70, 1,224,760,504.05 and 732,326,748.30

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Solution

The fourth proportional to 816,507,002.70, 1,224,760,504.05 and 732,326,748.30 is: 1,098,490,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,507,002.70 : 1,224,760,504.05 = 732,326,748.30 : x
  2. Step 2: Convert to fraction form
    816,507,002.70/1,224,760,504.05 = 732,326,748.30/x
  3. Step 3: Cross multiply
    816,507,002.70x = 1,224,760,504.05 × 732,326,748.30
  4. Step 4: Simplify right side
    816,507,002.70x = 896,924,877,377,205,376
  5. Step 5: Solve for x
    x = 896,924,877,377,205,376/816,507,002.70
  6. Step 6: Final answer
    x = 1,098,490,122.45

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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.