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Finding the Fourth Proportional to 630,129.30, 944,909.64 and 180,748.20

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Solution

The fourth proportional to 630,129.30, 944,909.64 and 180,748.20 is: 271,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,129.30 : 944,909.64 = 180,748.20 : x
  2. Step 2: Convert to fraction form
    630,129.30/944,909.64 = 180,748.20/x
  3. Step 3: Cross multiply
    630,129.30x = 944,909.64 × 180,748.20
  4. Step 4: Simplify right side
    630,129.30x = 170,790,716,592.65
  5. Step 5: Solve for x
    x = 170,790,716,592.65/630,129.30
  6. Step 6: Final answer
    x = 271,040.75

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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.