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Finding the Fourth Proportional to 491,455.76, 677,948.82 and 338,227.93

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Solution

The fourth proportional to 491,455.76, 677,948.82 and 338,227.93 is: 466,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,455.76 : 677,948.82 = 338,227.93 : x
  2. Step 2: Convert to fraction form
    491,455.76/677,948.82 = 338,227.93/x
  3. Step 3: Cross multiply
    491,455.76x = 677,948.82 × 338,227.93
  4. Step 4: Simplify right side
    491,455.76x = 229,301,226,034.54
  5. Step 5: Solve for x
    x = 229,301,226,034.54/491,455.76
  6. Step 6: Final answer
    x = 466,575.52

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1.5x scale

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.