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Finding the Fourth Proportional to 495,469, 743,240.58 and 140,511.61

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Solution

The fourth proportional to 495,469, 743,240.58 and 140,511.61 is: 210,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,469 : 743,240.58 = 140,511.61 : x
  2. Step 2: Convert to fraction form
    495,469/743,240.58 = 140,511.61/x
  3. Step 3: Cross multiply
    495,469x = 743,240.58 × 140,511.61
  4. Step 4: Simplify right side
    495,469x = 104,433,930,513.13
  5. Step 5: Solve for x
    x = 104,433,930,513.13/495,469
  6. Step 6: Final answer
    x = 210,777.93

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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.