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Finding the Fourth Proportional to 385,732.48, 532,304.86 and 215,972.68

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Solution

The fourth proportional to 385,732.48, 532,304.86 and 215,972.68 is: 298,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.48 : 532,304.86 = 215,972.68 : x
  2. Step 2: Convert to fraction form
    385,732.48/532,304.86 = 215,972.68/x
  3. Step 3: Cross multiply
    385,732.48x = 532,304.86 × 215,972.68
  4. Step 4: Simplify right side
    385,732.48x = 114,963,307,191.23
  5. Step 5: Solve for x
    x = 114,963,307,191.23/385,732.48
  6. Step 6: Final answer
    x = 298,038.96

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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.