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Finding the Fourth Proportional to 311,000.80, 466,501.20 and 204,095.20

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Solution

The fourth proportional to 311,000.80, 466,501.20 and 204,095.20 is: 306,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,000.80 : 466,501.20 = 204,095.20 : x
  2. Step 2: Convert to fraction form
    311,000.80/466,501.20 = 204,095.20/x
  3. Step 3: Cross multiply
    311,000.80x = 466,501.20 × 204,095.20
  4. Step 4: Simplify right side
    311,000.80x = 95,210,655,714.24
  5. Step 5: Solve for x
    x = 95,210,655,714.24/311,000.80
  6. Step 6: Final answer
    x = 306,142.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.