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Finding the Fourth Proportional to 281,074.64, 387,973.32 and 185,666

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Solution

The fourth proportional to 281,074.64, 387,973.32 and 185,666 is: 256,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,074.64 : 387,973.32 = 185,666 : x
  2. Step 2: Convert to fraction form
    281,074.64/387,973.32 = 185,666/x
  3. Step 3: Cross multiply
    281,074.64x = 387,973.32 × 185,666
  4. Step 4: Simplify right side
    281,074.64x = 72,033,454,431.12
  5. Step 5: Solve for x
    x = 72,033,454,431.12/281,074.64
  6. Step 6: Final answer
    x = 256,278.74

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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.