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Finding the Fourth Proportional to 279,414.38, 417,093 and 258,598.46

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Solution

The fourth proportional to 279,414.38, 417,093 and 258,598.46 is: 386,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,414.38 : 417,093 = 258,598.46 : x
  2. Step 2: Convert to fraction form
    279,414.38/417,093 = 258,598.46/x
  3. Step 3: Cross multiply
    279,414.38x = 417,093 × 258,598.46
  4. Step 4: Simplify right side
    279,414.38x = 107,859,607,476.78
  5. Step 5: Solve for x
    x = 107,859,607,476.78/279,414.38
  6. Step 6: Final answer
    x = 386,020.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.