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Finding the Fourth Proportional to 420,390.40, 580,151.09 and 229,416.11

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Solution

The fourth proportional to 420,390.40, 580,151.09 and 229,416.11 is: 316,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,390.40 : 580,151.09 = 229,416.11 : x
  2. Step 2: Convert to fraction form
    420,390.40/580,151.09 = 229,416.11/x
  3. Step 3: Cross multiply
    420,390.40x = 580,151.09 × 229,416.11
  4. Step 4: Simplify right side
    420,390.40x = 133,096,005,132.98
  5. Step 5: Solve for x
    x = 133,096,005,132.98/420,390.40
  6. Step 6: Final answer
    x = 316,600.97

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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.