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Finding the Fourth Proportional to 459,809.88, 689,715.10 and 127,385.88

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Solution

The fourth proportional to 459,809.88, 689,715.10 and 127,385.88 is: 191,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,809.88 : 689,715.10 = 127,385.88 : x
  2. Step 2: Convert to fraction form
    459,809.88/689,715.10 = 127,385.88/x
  3. Step 3: Cross multiply
    459,809.88x = 689,715.10 × 127,385.88
  4. Step 4: Simplify right side
    459,809.88x = 87,859,964,962.79
  5. Step 5: Solve for x
    x = 87,859,964,962.79/459,809.88
  6. Step 6: Final answer
    x = 191,078.90

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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.