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Finding the Fourth Proportional to 392,917,641.64, 589,376,463.09 and 159,693,711.76

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Solution

The fourth proportional to 392,917,641.64, 589,376,463.09 and 159,693,711.76 is: 239,540,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,917,641.64 : 589,376,463.09 = 159,693,711.76 : x
  2. Step 2: Convert to fraction form
    392,917,641.64/589,376,463.09 = 159,693,711.76/x
  3. Step 3: Cross multiply
    392,917,641.64x = 589,376,463.09 × 159,693,711.76
  4. Step 4: Simplify right side
    392,917,641.64x = 94,119,715,014,822,736
  5. Step 5: Solve for x
    x = 94,119,715,014,822,736/392,917,641.64
  6. Step 6: Final answer
    x = 239,540,567.90

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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.