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Finding the Fourth Proportional to 420,260.64, 630,471.96 and 136,021.74

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Solution

The fourth proportional to 420,260.64, 630,471.96 and 136,021.74 is: 204,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,260.64 : 630,471.96 = 136,021.74 : x
  2. Step 2: Convert to fraction form
    420,260.64/630,471.96 = 136,021.74/x
  3. Step 3: Cross multiply
    420,260.64x = 630,471.96 × 136,021.74
  4. Step 4: Simplify right side
    420,260.64x = 85,757,893,020.41
  5. Step 5: Solve for x
    x = 85,757,893,020.41/420,260.64
  6. Step 6: Final answer
    x = 204,058.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.