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Finding the Fourth Proportional to 282,344, 423,516 and 85,352

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Solution

The fourth proportional to 282,344, 423,516 and 85,352 is: 128,028

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,344 : 423,516 = 85,352 : x
  2. Step 2: Convert to fraction form
    282,344/423,516 = 85,352/x
  3. Step 3: Cross multiply
    282,344x = 423,516 × 85,352
  4. Step 4: Simplify right side
    282,344x = 36,147,937,632
  5. Step 5: Solve for x
    x = 36,147,937,632/282,344
  6. Step 6: Final answer
    x = 128,028

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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.