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Finding the Fourth Proportional to 521,642.56, 782,516.88 and 180,041.52

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Solution

The fourth proportional to 521,642.56, 782,516.88 and 180,041.52 is: 270,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,642.56 : 782,516.88 = 180,041.52 : x
  2. Step 2: Convert to fraction form
    521,642.56/782,516.88 = 180,041.52/x
  3. Step 3: Cross multiply
    521,642.56x = 782,516.88 × 180,041.52
  4. Step 4: Simplify right side
    521,642.56x = 140,885,528,500.86
  5. Step 5: Solve for x
    x = 140,885,528,500.86/521,642.56
  6. Step 6: Final answer
    x = 270,080.59

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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.