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Finding the Fourth Proportional to 477,977.64, 717,074.48 and 158,128.76

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Solution

The fourth proportional to 477,977.64, 717,074.48 and 158,128.76 is: 237,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,977.64 : 717,074.48 = 158,128.76 : x
  2. Step 2: Convert to fraction form
    477,977.64/717,074.48 = 158,128.76/x
  3. Step 3: Cross multiply
    477,977.64x = 717,074.48 × 158,128.76
  4. Step 4: Simplify right side
    477,977.64x = 113,390,098,350.05
  5. Step 5: Solve for x
    x = 113,390,098,350.05/477,977.64
  6. Step 6: Final answer
    x = 237,228.88

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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.