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Finding the Fourth Proportional to 298,337.80, 447,438.32 and 85,101.66

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Solution

The fourth proportional to 298,337.80, 447,438.32 and 85,101.66 is: 127,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,337.80 : 447,438.32 = 85,101.66 : x
  2. Step 2: Convert to fraction form
    298,337.80/447,438.32 = 85,101.66/x
  3. Step 3: Cross multiply
    298,337.80x = 447,438.32 × 85,101.66
  4. Step 4: Simplify right side
    298,337.80x = 38,077,743,779.61
  5. Step 5: Solve for x
    x = 38,077,743,779.61/298,337.80
  6. Step 6: Final answer
    x = 127,632.98

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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.