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Finding the Fourth Proportional to 512,999.70, 769,499.55 and 310,920.90

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Solution

The fourth proportional to 512,999.70, 769,499.55 and 310,920.90 is: 466,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.70 : 769,499.55 = 310,920.90 : x
  2. Step 2: Convert to fraction form
    512,999.70/769,499.55 = 310,920.90/x
  3. Step 3: Cross multiply
    512,999.70x = 769,499.55 × 310,920.90
  4. Step 4: Simplify right side
    512,999.70x = 239,253,492,635.60
  5. Step 5: Solve for x
    x = 239,253,492,635.60/512,999.70
  6. Step 6: Final answer
    x = 466,381.35

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Similar ratio
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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.