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Finding the Fourth Proportional to 342,000.30, 513,000.45 and 200,282.70

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Solution

The fourth proportional to 342,000.30, 513,000.45 and 200,282.70 is: 300,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.30 : 513,000.45 = 200,282.70 : x
  2. Step 2: Convert to fraction form
    342,000.30/513,000.45 = 200,282.70/x
  3. Step 3: Cross multiply
    342,000.30x = 513,000.45 × 200,282.70
  4. Step 4: Simplify right side
    342,000.30x = 102,745,115,227.22
  5. Step 5: Solve for x
    x = 102,745,115,227.22/342,000.30
  6. Step 6: Final answer
    x = 300,424.05

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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.