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Finding the Fourth Proportional to 281,507.76, 388,466.16 and 154,158.78

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Solution

The fourth proportional to 281,507.76, 388,466.16 and 154,158.78 is: 212,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,507.76 : 388,466.16 = 154,158.78 : x
  2. Step 2: Convert to fraction form
    281,507.76/388,466.16 = 154,158.78/x
  3. Step 3: Cross multiply
    281,507.76x = 388,466.16 × 154,158.78
  4. Step 4: Simplify right side
    281,507.76x = 59,885,469,296.88
  5. Step 5: Solve for x
    x = 59,885,469,296.88/281,507.76
  6. Step 6: Final answer
    x = 212,731.15

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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.