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Finding the Fourth Proportional to 713,399,641.92, 984,412,789.92 and 400,069,376.64

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Solution

The fourth proportional to 713,399,641.92, 984,412,789.92 and 400,069,376.64 is: 552,051,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,399,641.92 : 984,412,789.92 = 400,069,376.64 : x
  2. Step 2: Convert to fraction form
    713,399,641.92/984,412,789.92 = 400,069,376.64/x
  3. Step 3: Cross multiply
    713,399,641.92x = 984,412,789.92 × 400,069,376.64
  4. Step 4: Simplify right side
    713,399,641.92x = 393,833,411,219,737,664
  5. Step 5: Solve for x
    x = 393,833,411,219,737,664/713,399,641.92
  6. Step 6: Final answer
    x = 552,051,596.44

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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.