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Finding the Fourth Proportional to 508,211.58, 762,387.76 and 171,348.66

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Solution

The fourth proportional to 508,211.58, 762,387.76 and 171,348.66 is: 257,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,211.58 : 762,387.76 = 171,348.66 : x
  2. Step 2: Convert to fraction form
    508,211.58/762,387.76 = 171,348.66/x
  3. Step 3: Cross multiply
    508,211.58x = 762,387.76 × 171,348.66
  4. Step 4: Simplify right side
    508,211.58x = 130,634,121,076.40
  5. Step 5: Solve for x
    x = 130,634,121,076.40/508,211.58
  6. Step 6: Final answer
    x = 257,046.72

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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.