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Finding the Fourth Proportional to 298,442.55, 447,364.38 and 138,630.66

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Solution

The fourth proportional to 298,442.55, 447,364.38 and 138,630.66 is: 207,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.55 : 447,364.38 = 138,630.66 : x
  2. Step 2: Convert to fraction form
    298,442.55/447,364.38 = 138,630.66/x
  3. Step 3: Cross multiply
    298,442.55x = 447,364.38 × 138,630.66
  4. Step 4: Simplify right side
    298,442.55x = 62,018,419,259.89
  5. Step 5: Solve for x
    x = 62,018,419,259.89/298,442.55
  6. Step 6: Final answer
    x = 207,806.89

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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.