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Finding the Fourth Proportional to 420,710.72, 580,582.92 and 229,724.12

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Solution

The fourth proportional to 420,710.72, 580,582.92 and 229,724.12 is: 317,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,710.72 : 580,582.92 = 229,724.12 : x
  2. Step 2: Convert to fraction form
    420,710.72/580,582.92 = 229,724.12/x
  3. Step 3: Cross multiply
    420,710.72x = 580,582.92 × 229,724.12
  4. Step 4: Simplify right side
    420,710.72x = 133,373,900,384.03
  5. Step 5: Solve for x
    x = 133,373,900,384.03/420,710.72
  6. Step 6: Final answer
    x = 317,020.45

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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.