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Finding the Fourth Proportional to 420,701.85, 630,909.71 and 136,315.31

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Solution

The fourth proportional to 420,701.85, 630,909.71 and 136,315.31 is: 204,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,701.85 : 630,909.71 = 136,315.31 : x
  2. Step 2: Convert to fraction form
    420,701.85/630,909.71 = 136,315.31/x
  3. Step 3: Cross multiply
    420,701.85x = 630,909.71 × 136,315.31
  4. Step 4: Simplify right side
    420,701.85x = 86,002,649,375.72
  5. Step 5: Solve for x
    x = 86,002,649,375.72/420,701.85
  6. Step 6: Final answer
    x = 204,426.60

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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.