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Finding the Fourth Proportional to 494,706.30, 742,059.45 and 282,129.90

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Solution

The fourth proportional to 494,706.30, 742,059.45 and 282,129.90 is: 423,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,706.30 : 742,059.45 = 282,129.90 : x
  2. Step 2: Convert to fraction form
    494,706.30/742,059.45 = 282,129.90/x
  3. Step 3: Cross multiply
    494,706.30x = 742,059.45 × 282,129.90
  4. Step 4: Simplify right side
    494,706.30x = 209,357,158,422.56
  5. Step 5: Solve for x
    x = 209,357,158,422.56/494,706.30
  6. Step 6: Final answer
    x = 423,194.85

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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.