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Finding the Fourth Proportional to 426,073.14, 638,463.11 and 313,215.75

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Solution

The fourth proportional to 426,073.14, 638,463.11 and 313,215.75 is: 469,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,073.14 : 638,463.11 = 313,215.75 : x
  2. Step 2: Convert to fraction form
    426,073.14/638,463.11 = 313,215.75/x
  3. Step 3: Cross multiply
    426,073.14x = 638,463.11 × 313,215.75
  4. Step 4: Simplify right side
    426,073.14x = 199,976,700,279.90
  5. Step 5: Solve for x
    x = 199,976,700,279.90/426,073.14
  6. Step 6: Final answer
    x = 469,348.29

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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.