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Finding the Fourth Proportional to 252,023.20, 378,034.80 and 158,711.20

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Solution

The fourth proportional to 252,023.20, 378,034.80 and 158,711.20 is: 238,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,023.20 : 378,034.80 = 158,711.20 : x
  2. Step 2: Convert to fraction form
    252,023.20/378,034.80 = 158,711.20/x
  3. Step 3: Cross multiply
    252,023.20x = 378,034.80 × 158,711.20
  4. Step 4: Simplify right side
    252,023.20x = 59,998,356,749.76
  5. Step 5: Solve for x
    x = 59,998,356,749.76/252,023.20
  6. Step 6: Final answer
    x = 238,066.80

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1.5x scale

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.