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Finding the Fourth Proportional to 282,342, 423,513 and 85,350

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Solution

The fourth proportional to 282,342, 423,513 and 85,350 is: 128,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,342 : 423,513 = 85,350 : x
  2. Step 2: Convert to fraction form
    282,342/423,513 = 85,350/x
  3. Step 3: Cross multiply
    282,342x = 423,513 × 85,350
  4. Step 4: Simplify right side
    282,342x = 36,146,834,550
  5. Step 5: Solve for x
    x = 36,146,834,550/282,342
  6. Step 6: Final answer
    x = 128,025

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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.