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Finding the Fourth Proportional to 520,099.90, 780,149.85 and 340,474.30

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Solution

The fourth proportional to 520,099.90, 780,149.85 and 340,474.30 is: 510,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,099.90 : 780,149.85 = 340,474.30 : x
  2. Step 2: Convert to fraction form
    520,099.90/780,149.85 = 340,474.30/x
  3. Step 3: Cross multiply
    520,099.90x = 780,149.85 × 340,474.30
  4. Step 4: Simplify right side
    520,099.90x = 265,620,974,073.86
  5. Step 5: Solve for x
    x = 265,620,974,073.86/520,099.90
  6. Step 6: Final answer
    x = 510,711.45

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Double scale
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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.