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Finding the Fourth Proportional to 261,418, 392,127 and 64,426

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Solution

The fourth proportional to 261,418, 392,127 and 64,426 is: 96,639

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,418 : 392,127 = 64,426 : x
  2. Step 2: Convert to fraction form
    261,418/392,127 = 64,426/x
  3. Step 3: Cross multiply
    261,418x = 392,127 × 64,426
  4. Step 4: Simplify right side
    261,418x = 25,263,174,102
  5. Step 5: Solve for x
    x = 25,263,174,102/261,418
  6. Step 6: Final answer
    x = 96,639

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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.