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Finding the Fourth Proportional to 311,031.80, 466,547.70 and 204,126.20

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Solution

The fourth proportional to 311,031.80, 466,547.70 and 204,126.20 is: 306,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,031.80 : 466,547.70 = 204,126.20 : x
  2. Step 2: Convert to fraction form
    311,031.80/466,547.70 = 204,126.20/x
  3. Step 3: Cross multiply
    311,031.80x = 466,547.70 × 204,126.20
  4. Step 4: Simplify right side
    311,031.80x = 95,234,609,119.74
  5. Step 5: Solve for x
    x = 95,234,609,119.74/311,031.80
  6. Step 6: Final answer
    x = 306,189.30

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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.