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Finding the Fourth Proportional to 393,670.20, 590,505.30 and 157,049.40

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Solution

The fourth proportional to 393,670.20, 590,505.30 and 157,049.40 is: 235,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,670.20 : 590,505.30 = 157,049.40 : x
  2. Step 2: Convert to fraction form
    393,670.20/590,505.30 = 157,049.40/x
  3. Step 3: Cross multiply
    393,670.20x = 590,505.30 × 157,049.40
  4. Step 4: Simplify right side
    393,670.20x = 92,738,503,061.82
  5. Step 5: Solve for x
    x = 92,738,503,061.82/393,670.20
  6. Step 6: Final answer
    x = 235,574.10

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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.