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Finding the Fourth Proportional to 281,966.64, 389,114.16 and 154,642.74

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Solution

The fourth proportional to 281,966.64, 389,114.16 and 154,642.74 is: 213,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,966.64 : 389,114.16 = 154,642.74 : x
  2. Step 2: Convert to fraction form
    281,966.64/389,114.16 = 154,642.74/x
  3. Step 3: Cross multiply
    281,966.64x = 389,114.16 × 154,642.74
  4. Step 4: Simplify right side
    281,966.64x = 60,173,679,875.20
  5. Step 5: Solve for x
    x = 60,173,679,875.20/281,966.64
  6. Step 6: Final answer
    x = 213,407.09

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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.