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Finding the Fourth Proportional to 398,006.52, 549,221.22 and 225,927.96

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Solution

The fourth proportional to 398,006.52, 549,221.22 and 225,927.96 is: 311,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,006.52 : 549,221.22 = 225,927.96 : x
  2. Step 2: Convert to fraction form
    398,006.52/549,221.22 = 225,927.96/x
  3. Step 3: Cross multiply
    398,006.52x = 549,221.22 × 225,927.96
  4. Step 4: Simplify right side
    398,006.52x = 124,084,429,823.31
  5. Step 5: Solve for x
    x = 124,084,429,823.31/398,006.52
  6. Step 6: Final answer
    x = 311,764.82

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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.