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Finding the Fourth Proportional to 984,393, 1,358,463.25 and 531,684

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Solution

The fourth proportional to 984,393, 1,358,463.25 and 531,684 is: 733,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,393 : 1,358,463.25 = 531,684 : x
  2. Step 2: Convert to fraction form
    984,393/1,358,463.25 = 531,684/x
  3. Step 3: Cross multiply
    984,393x = 1,358,463.25 × 531,684
  4. Step 4: Simplify right side
    984,393x = 722,273,175,277.61
  5. Step 5: Solve for x
    x = 722,273,175,277.61/984,393
  6. Step 6: Final answer
    x = 733,724.41

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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.