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Finding the Fourth Proportional to 393,951.60, 590,927.40 and 113,497.20

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Solution

The fourth proportional to 393,951.60, 590,927.40 and 113,497.20 is: 170,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,951.60 : 590,927.40 = 113,497.20 : x
  2. Step 2: Convert to fraction form
    393,951.60/590,927.40 = 113,497.20/x
  3. Step 3: Cross multiply
    393,951.60x = 590,927.40 × 113,497.20
  4. Step 4: Simplify right side
    393,951.60x = 67,068,605,303.28
  5. Step 5: Solve for x
    x = 67,068,605,303.28/393,951.60
  6. Step 6: Final answer
    x = 170,245.80

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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.