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Finding the Fourth Proportional to 420,577.68, 580,398.24 and 229,591.20

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Solution

The fourth proportional to 420,577.68, 580,398.24 and 229,591.20 is: 316,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,577.68 : 580,398.24 = 229,591.20 : x
  2. Step 2: Convert to fraction form
    420,577.68/580,398.24 = 229,591.20/x
  3. Step 3: Cross multiply
    420,577.68x = 580,398.24 × 229,591.20
  4. Step 4: Simplify right side
    420,577.68x = 133,254,328,399.49
  5. Step 5: Solve for x
    x = 133,254,328,399.49/420,577.68
  6. Step 6: Final answer
    x = 316,836.42

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1.5x scale

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.