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Finding the Fourth Proportional to 515,896,382.94, 711,904,759.80 and 284,109,374.94

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Solution

The fourth proportional to 515,896,382.94, 711,904,759.80 and 284,109,374.94 is: 392,053,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,896,382.94 : 711,904,759.80 = 284,109,374.94 : x
  2. Step 2: Convert to fraction form
    515,896,382.94/711,904,759.80 = 284,109,374.94/x
  3. Step 3: Cross multiply
    515,896,382.94x = 711,904,759.80 × 284,109,374.94
  4. Step 4: Simplify right side
    515,896,382.94x = 202,258,816,323,588,832
  5. Step 5: Solve for x
    x = 202,258,816,323,588,832/515,896,382.94
  6. Step 6: Final answer
    x = 392,053,177.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.