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Finding the Fourth Proportional to 688,683, 1,032,432.86 and 239,345.49

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Solution

The fourth proportional to 688,683, 1,032,432.86 and 239,345.49 is: 358,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,683 : 1,032,432.86 = 239,345.49 : x
  2. Step 2: Convert to fraction form
    688,683/1,032,432.86 = 239,345.49/x
  3. Step 3: Cross multiply
    688,683x = 1,032,432.86 × 239,345.49
  4. Step 4: Simplify right side
    688,683x = 247,108,149,367.17
  5. Step 5: Solve for x
    x = 247,108,149,367.17/688,683
  6. Step 6: Final answer
    x = 358,812.62

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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.