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Finding the Fourth Proportional to 420,719.62, 580,593 and 229,733.17

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Solution

The fourth proportional to 420,719.62, 580,593 and 229,733.17 is: 317,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,719.62 : 580,593 = 229,733.17 : x
  2. Step 2: Convert to fraction form
    420,719.62/580,593 = 229,733.17/x
  3. Step 3: Cross multiply
    420,719.62x = 580,593 × 229,733.17
  4. Step 4: Simplify right side
    420,719.62x = 133,381,470,369.81
  5. Step 5: Solve for x
    x = 133,381,470,369.81/420,719.62
  6. Step 6: Final answer
    x = 317,031.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.