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Finding the Fourth Proportional to 393,610.40, 590,707.20 and 157,122.80

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Solution

The fourth proportional to 393,610.40, 590,707.20 and 157,122.80 is: 235,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,610.40 : 590,707.20 = 157,122.80 : x
  2. Step 2: Convert to fraction form
    393,610.40/590,707.20 = 157,122.80/x
  3. Step 3: Cross multiply
    393,610.40x = 590,707.20 × 157,122.80
  4. Step 4: Simplify right side
    393,610.40x = 92,813,569,244.16
  5. Step 5: Solve for x
    x = 92,813,569,244.16/393,610.40
  6. Step 6: Final answer
    x = 235,800.60

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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.