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Finding the Fourth Proportional to 420,624.48, 580,473.84 and 229,650

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Solution

The fourth proportional to 420,624.48, 580,473.84 and 229,650 is: 316,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,624.48 : 580,473.84 = 229,650 : x
  2. Step 2: Convert to fraction form
    420,624.48/580,473.84 = 229,650/x
  3. Step 3: Cross multiply
    420,624.48x = 580,473.84 × 229,650
  4. Step 4: Simplify right side
    420,624.48x = 133,305,817,356
  5. Step 5: Solve for x
    x = 133,305,817,356/420,624.48
  6. Step 6: Final answer
    x = 316,923.58

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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.