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Finding the Fourth Proportional to 311,687.69, 429,929.56 and 216,159.53

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Solution

The fourth proportional to 311,687.69, 429,929.56 and 216,159.53 is: 298,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,687.69 : 429,929.56 = 216,159.53 : x
  2. Step 2: Convert to fraction form
    311,687.69/429,929.56 = 216,159.53/x
  3. Step 3: Cross multiply
    311,687.69x = 429,929.56 × 216,159.53
  4. Step 4: Simplify right side
    311,687.69x = 92,933,372,967.73
  5. Step 5: Solve for x
    x = 92,933,372,967.73/311,687.69
  6. Step 6: Final answer
    x = 298,161.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.