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Finding the Fourth Proportional to 460,008, 690,012 and 127,584

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Solution

The fourth proportional to 460,008, 690,012 and 127,584 is: 191,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,008 : 690,012 = 127,584 : x
  2. Step 2: Convert to fraction form
    460,008/690,012 = 127,584/x
  3. Step 3: Cross multiply
    460,008x = 690,012 × 127,584
  4. Step 4: Simplify right side
    460,008x = 88,034,491,008
  5. Step 5: Solve for x
    x = 88,034,491,008/460,008
  6. Step 6: Final answer
    x = 191,376

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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.