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Finding the Fourth Proportional to 493,648.20, 740,501.01 and 138,689.90

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Solution

The fourth proportional to 493,648.20, 740,501.01 and 138,689.90 is: 208,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,648.20 : 740,501.01 = 138,689.90 : x
  2. Step 2: Convert to fraction form
    493,648.20/740,501.01 = 138,689.90/x
  3. Step 3: Cross multiply
    493,648.20x = 740,501.01 × 138,689.90
  4. Step 4: Simplify right side
    493,648.20x = 102,700,011,026.80
  5. Step 5: Solve for x
    x = 102,700,011,026.80/493,648.20
  6. Step 6: Final answer
    x = 208,042.92

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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.