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Finding the Fourth Proportional to 296,909.34, 445,357.54 and 72,270.96

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Solution

The fourth proportional to 296,909.34, 445,357.54 and 72,270.96 is: 108,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,909.34 : 445,357.54 = 72,270.96 : x
  2. Step 2: Convert to fraction form
    296,909.34/445,357.54 = 72,270.96/x
  3. Step 3: Cross multiply
    296,909.34x = 445,357.54 × 72,270.96
  4. Step 4: Simplify right side
    296,909.34x = 32,186,416,959.04
  5. Step 5: Solve for x
    x = 32,186,416,959.04/296,909.34
  6. Step 6: Final answer
    x = 108,404.87

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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.