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Finding the Fourth Proportional to 349,264.78, 523,900.41 and 138,956.38

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Solution

The fourth proportional to 349,264.78, 523,900.41 and 138,956.38 is: 208,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,264.78 : 523,900.41 = 138,956.38 : x
  2. Step 2: Convert to fraction form
    349,264.78/523,900.41 = 138,956.38/x
  3. Step 3: Cross multiply
    349,264.78x = 523,900.41 × 138,956.38
  4. Step 4: Simplify right side
    349,264.78x = 72,799,304,454.12
  5. Step 5: Solve for x
    x = 72,799,304,454.12/349,264.78
  6. Step 6: Final answer
    x = 208,435.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.