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Finding the Fourth Proportional to 494,701.60, 742,246.80 and 195,131.20

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Solution

The fourth proportional to 494,701.60, 742,246.80 and 195,131.20 is: 292,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,701.60 : 742,246.80 = 195,131.20 : x
  2. Step 2: Convert to fraction form
    494,701.60/742,246.80 = 195,131.20/x
  3. Step 3: Cross multiply
    494,701.60x = 742,246.80 × 195,131.20
  4. Step 4: Simplify right side
    494,701.60x = 144,835,508,780.16
  5. Step 5: Solve for x
    x = 144,835,508,780.16/494,701.60
  6. Step 6: Final answer
    x = 292,773.48

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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.