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Finding the Fourth Proportional to 281,492.47, 388,363.10 and 160,546.78

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Solution

The fourth proportional to 281,492.47, 388,363.10 and 160,546.78 is: 221,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,492.47 : 388,363.10 = 160,546.78 : x
  2. Step 2: Convert to fraction form
    281,492.47/388,363.10 = 160,546.78/x
  3. Step 3: Cross multiply
    281,492.47x = 388,363.10 × 160,546.78
  4. Step 4: Simplify right side
    281,492.47x = 62,350,445,175.82
  5. Step 5: Solve for x
    x = 62,350,445,175.82/281,492.47
  6. Step 6: Final answer
    x = 221,499.51

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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.