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Finding the Fourth Proportional to 399,051.48, 550,785.60 and 229,384.20

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Solution

The fourth proportional to 399,051.48, 550,785.60 and 229,384.20 is: 316,604.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,051.48 : 550,785.60 = 229,384.20 : x
  2. Step 2: Convert to fraction form
    399,051.48/550,785.60 = 229,384.20/x
  3. Step 3: Cross multiply
    399,051.48x = 550,785.60 × 229,384.20
  4. Step 4: Simplify right side
    399,051.48x = 126,341,514,227.52
  5. Step 5: Solve for x
    x = 126,341,514,227.52/399,051.48
  6. Step 6: Final answer
    x = 316,604.55

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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.