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Finding the Fourth Proportional to 420,586.28, 630,978.86 and 136,276.36

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Solution

The fourth proportional to 420,586.28, 630,978.86 and 136,276.36 is: 204,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,586.28 : 630,978.86 = 136,276.36 : x
  2. Step 2: Convert to fraction form
    420,586.28/630,978.86 = 136,276.36/x
  3. Step 3: Cross multiply
    420,586.28x = 630,978.86 × 136,276.36
  4. Step 4: Simplify right side
    420,586.28x = 85,987,502,277.75
  5. Step 5: Solve for x
    x = 85,987,502,277.75/420,586.28
  6. Step 6: Final answer
    x = 204,446.76

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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.