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Finding the Fourth Proportional to 494,672.30, 742,008.45 and 120,695.30

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Solution

The fourth proportional to 494,672.30, 742,008.45 and 120,695.30 is: 181,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,672.30 : 742,008.45 = 120,695.30 : x
  2. Step 2: Convert to fraction form
    494,672.30/742,008.45 = 120,695.30/x
  3. Step 3: Cross multiply
    494,672.30x = 742,008.45 × 120,695.30
  4. Step 4: Simplify right side
    494,672.30x = 89,556,932,475.29
  5. Step 5: Solve for x
    x = 89,556,932,475.29/494,672.30
  6. Step 6: Final answer
    x = 181,042.95

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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.