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Finding the Fourth Proportional to 281,278.78, 388,149.74 and 153,929.76

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Solution

The fourth proportional to 281,278.78, 388,149.74 and 153,929.76 is: 212,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,278.78 : 388,149.74 = 153,929.76 : x
  2. Step 2: Convert to fraction form
    281,278.78/388,149.74 = 153,929.76/x
  3. Step 3: Cross multiply
    281,278.78x = 388,149.74 × 153,929.76
  4. Step 4: Simplify right side
    281,278.78x = 59,747,796,322.26
  5. Step 5: Solve for x
    x = 59,747,796,322.26/281,278.78
  6. Step 6: Final answer
    x = 212,414.87

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1.5x scale

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.