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Finding the Fourth Proportional to 402,709.91, 603,687.60 and 136,283.90

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Solution

The fourth proportional to 402,709.91, 603,687.60 and 136,283.90 is: 204,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,709.91 : 603,687.60 = 136,283.90 : x
  2. Step 2: Convert to fraction form
    402,709.91/603,687.60 = 136,283.90/x
  3. Step 3: Cross multiply
    402,709.91x = 603,687.60 × 136,283.90
  4. Step 4: Simplify right side
    402,709.91x = 82,272,897,491.20
  5. Step 5: Solve for x
    x = 82,272,897,491.20/402,709.91
  6. Step 6: Final answer
    x = 204,298.17

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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.