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Finding the Fourth Proportional to 459,805.38, 689,708.34 and 127,381.38

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Solution

The fourth proportional to 459,805.38, 689,708.34 and 127,381.38 is: 191,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,805.38 : 689,708.34 = 127,381.38 : x
  2. Step 2: Convert to fraction form
    459,805.38/689,708.34 = 127,381.38/x
  3. Step 3: Cross multiply
    459,805.38x = 689,708.34 × 127,381.38
  4. Step 4: Simplify right side
    459,805.38x = 87,856,000,146.71
  5. Step 5: Solve for x
    x = 87,856,000,146.71/459,805.38
  6. Step 6: Final answer
    x = 191,072.14

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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.