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Finding the Fourth Proportional to 494,990.16, 742,498.05 and 158,030.53

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Solution

The fourth proportional to 494,990.16, 742,498.05 and 158,030.53 is: 237,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,990.16 : 742,498.05 = 158,030.53 : x
  2. Step 2: Convert to fraction form
    494,990.16/742,498.05 = 158,030.53/x
  3. Step 3: Cross multiply
    494,990.16x = 742,498.05 × 158,030.53
  4. Step 4: Simplify right side
    494,990.16x = 117,337,359,101.84
  5. Step 5: Solve for x
    x = 117,337,359,101.84/494,990.16
  6. Step 6: Final answer
    x = 237,049.88

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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.