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Finding the Fourth Proportional to 298,184.27, 447,326.64 and 138,195.30

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Solution

The fourth proportional to 298,184.27, 447,326.64 and 138,195.30 is: 207,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,184.27 : 447,326.64 = 138,195.30 : x
  2. Step 2: Convert to fraction form
    298,184.27/447,326.64 = 138,195.30/x
  3. Step 3: Cross multiply
    298,184.27x = 447,326.64 × 138,195.30
  4. Step 4: Simplify right side
    298,184.27x = 61,818,440,890.27
  5. Step 5: Solve for x
    x = 61,818,440,890.27/298,184.27
  6. Step 6: Final answer
    x = 207,316.24

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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.