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Finding the Fourth Proportional to 245,494.13, 338,712 and 147,337.49

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Solution

The fourth proportional to 245,494.13, 338,712 and 147,337.49 is: 203,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,494.13 : 338,712 = 147,337.49 : x
  2. Step 2: Convert to fraction form
    245,494.13/338,712 = 147,337.49/x
  3. Step 3: Cross multiply
    245,494.13x = 338,712 × 147,337.49
  4. Step 4: Simplify right side
    245,494.13x = 49,904,974,219.32
  5. Step 5: Solve for x
    x = 49,904,974,219.32/245,494.13
  6. Step 6: Final answer
    x = 203,283.78

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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.