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Finding the Fourth Proportional to 261,542, 392,313 and 64,550

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Solution

The fourth proportional to 261,542, 392,313 and 64,550 is: 96,825

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,542 : 392,313 = 64,550 : x
  2. Step 2: Convert to fraction form
    261,542/392,313 = 64,550/x
  3. Step 3: Cross multiply
    261,542x = 392,313 × 64,550
  4. Step 4: Simplify right side
    261,542x = 25,323,804,150
  5. Step 5: Solve for x
    x = 25,323,804,150/261,542
  6. Step 6: Final answer
    x = 96,825

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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.