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Finding the Fourth Proportional to 460,012, 690,018 and 127,588

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Solution

The fourth proportional to 460,012, 690,018 and 127,588 is: 191,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,012 : 690,018 = 127,588 : x
  2. Step 2: Convert to fraction form
    460,012/690,018 = 127,588/x
  3. Step 3: Cross multiply
    460,012x = 690,018 × 127,588
  4. Step 4: Simplify right side
    460,012x = 88,038,016,584
  5. Step 5: Solve for x
    x = 88,038,016,584/460,012
  6. Step 6: Final answer
    x = 191,382

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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.