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Finding the Fourth Proportional to 675,750.80, 932,387.28 and 403,778

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Solution

The fourth proportional to 675,750.80, 932,387.28 and 403,778 is: 557,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,750.80 : 932,387.28 = 403,778 : x
  2. Step 2: Convert to fraction form
    675,750.80/932,387.28 = 403,778/x
  3. Step 3: Cross multiply
    675,750.80x = 932,387.28 × 403,778
  4. Step 4: Simplify right side
    675,750.80x = 376,477,471,143.84
  5. Step 5: Solve for x
    x = 376,477,471,143.84/675,750.80
  6. Step 6: Final answer
    x = 557,124.71

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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.