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Finding the Fourth Proportional to 566,082.09, 781,192.12 and 311,432.67

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Solution

The fourth proportional to 566,082.09, 781,192.12 and 311,432.67 is: 429,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,082.09 : 781,192.12 = 311,432.67 : x
  2. Step 2: Convert to fraction form
    566,082.09/781,192.12 = 311,432.67/x
  3. Step 3: Cross multiply
    566,082.09x = 781,192.12 × 311,432.67
  4. Step 4: Simplify right side
    566,082.09x = 243,288,747,714.56
  5. Step 5: Solve for x
    x = 243,288,747,714.56/566,082.09
  6. Step 6: Final answer
    x = 429,776.44

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Double scale
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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.