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Finding the Fourth Proportional to 647,136,019.20, 970,704,028.80 and 616,902,931.20

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Solution

The fourth proportional to 647,136,019.20, 970,704,028.80 and 616,902,931.20 is: 925,354,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,136,019.20 : 970,704,028.80 = 616,902,931.20 : x
  2. Step 2: Convert to fraction form
    647,136,019.20/970,704,028.80 = 616,902,931.20/x
  3. Step 3: Cross multiply
    647,136,019.20x = 970,704,028.80 × 616,902,931.20
  4. Step 4: Simplify right side
    647,136,019.20x = 598,830,160,694,369,280
  5. Step 5: Solve for x
    x = 598,830,160,694,369,280/647,136,019.20
  6. Step 6: Final answer
    x = 925,354,396.80

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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.