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Finding the Fourth Proportional to 709,165,856.25, 978,638,665.82 and 391,639,537.62

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Solution

The fourth proportional to 709,165,856.25, 978,638,665.82 and 391,639,537.62 is: 540,456,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,165,856.25 : 978,638,665.82 = 391,639,537.62 : x
  2. Step 2: Convert to fraction form
    709,165,856.25/978,638,665.82 = 391,639,537.62/x
  3. Step 3: Cross multiply
    709,165,856.25x = 978,638,665.82 × 391,639,537.62
  4. Step 4: Simplify right side
    709,165,856.25x = 383,273,594,576,840,320
  5. Step 5: Solve for x
    x = 383,273,594,576,840,320/709,165,856.25
  6. Step 6: Final answer
    x = 540,456,920.20

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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.