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Finding the Fourth Proportional to 311,549.76, 429,656.40 and 204,080.58

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Solution

The fourth proportional to 311,549.76, 429,656.40 and 204,080.58 is: 281,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,549.76 : 429,656.40 = 204,080.58 : x
  2. Step 2: Convert to fraction form
    311,549.76/429,656.40 = 204,080.58/x
  3. Step 3: Cross multiply
    311,549.76x = 429,656.40 × 204,080.58
  4. Step 4: Simplify right side
    311,549.76x = 87,684,527,312.71
  5. Step 5: Solve for x
    x = 87,684,527,312.71/311,549.76
  6. Step 6: Final answer
    x = 281,446.30

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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.