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Finding the Fourth Proportional to 978,721,881.66, 1,468,220,428.53 and 314,513,217.90

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Solution

The fourth proportional to 978,721,881.66, 1,468,220,428.53 and 314,513,217.90 is: 471,814,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,721,881.66 : 1,468,220,428.53 = 314,513,217.90 : x
  2. Step 2: Convert to fraction form
    978,721,881.66/1,468,220,428.53 = 314,513,217.90/x
  3. Step 3: Cross multiply
    978,721,881.66x = 1,468,220,428.53 × 314,513,217.90
  4. Step 4: Simplify right side
    978,721,881.66x = 461,774,731,563,487,232
  5. Step 5: Solve for x
    x = 461,774,731,563,487,232/978,721,881.66
  6. Step 6: Final answer
    x = 471,814,046.68

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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.