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Finding the Fourth Proportional to 540,481.91, 745,851.78 and 298,758.20

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Solution

The fourth proportional to 540,481.91, 745,851.78 and 298,758.20 is: 412,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,481.91 : 745,851.78 = 298,758.20 : x
  2. Step 2: Convert to fraction form
    540,481.91/745,851.78 = 298,758.20/x
  3. Step 3: Cross multiply
    540,481.91x = 745,851.78 × 298,758.20
  4. Step 4: Simplify right side
    540,481.91x = 222,829,331,530.34
  5. Step 5: Solve for x
    x = 222,829,331,530.34/540,481.91
  6. Step 6: Final answer
    x = 412,278.99

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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.