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Finding the Fourth Proportional to 540,146.34, 745,338.41 and 298,414.50

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Solution

The fourth proportional to 540,146.34, 745,338.41 and 298,414.50 is: 411,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,146.34 : 745,338.41 = 298,414.50 : x
  2. Step 2: Convert to fraction form
    540,146.34/745,338.41 = 298,414.50/x
  3. Step 3: Cross multiply
    540,146.34x = 745,338.41 × 298,414.50
  4. Step 4: Simplify right side
    540,146.34x = 222,419,785,782.91
  5. Step 5: Solve for x
    x = 222,419,785,782.91/540,146.34
  6. Step 6: Final answer
    x = 411,776.90

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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.