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Finding the Fourth Proportional to 420,587.64, 580,420.89 and 229,602.47

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Solution

The fourth proportional to 420,587.64, 580,420.89 and 229,602.47 is: 316,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,587.64 : 580,420.89 = 229,602.47 : x
  2. Step 2: Convert to fraction form
    420,587.64/580,420.89 = 229,602.47/x
  3. Step 3: Cross multiply
    420,587.64x = 580,420.89 × 229,602.47
  4. Step 4: Simplify right side
    420,587.64x = 133,266,067,081.49
  5. Step 5: Solve for x
    x = 133,266,067,081.49/420,587.64
  6. Step 6: Final answer
    x = 316,856.83

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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.