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Finding the Fourth Proportional to 218,974.78, 328,805.88 and 130,622.32

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Solution

The fourth proportional to 218,974.78, 328,805.88 and 130,622.32 is: 196,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.78 : 328,805.88 = 130,622.32 : x
  2. Step 2: Convert to fraction form
    218,974.78/328,805.88 = 130,622.32/x
  3. Step 3: Cross multiply
    218,974.78x = 328,805.88 × 130,622.32
  4. Step 4: Simplify right side
    218,974.78x = 42,949,386,875.24
  5. Step 5: Solve for x
    x = 42,949,386,875.24/218,974.78
  6. Step 6: Final answer
    x = 196,138.51

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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.