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Finding the Fourth Proportional to 281,219.56, 388,082.28 and 153,894.04

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Solution

The fourth proportional to 281,219.56, 388,082.28 and 153,894.04 is: 212,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,219.56 : 388,082.28 = 153,894.04 : x
  2. Step 2: Convert to fraction form
    281,219.56/388,082.28 = 153,894.04/x
  3. Step 3: Cross multiply
    281,219.56x = 388,082.28 × 153,894.04
  4. Step 4: Simplify right side
    281,219.56x = 59,723,549,921.61
  5. Step 5: Solve for x
    x = 59,723,549,921.61/281,219.56
  6. Step 6: Final answer
    x = 212,373.39

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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.