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Finding the Fourth Proportional to 520,206.78, 780,310.17 and 146,229.78

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Solution

The fourth proportional to 520,206.78, 780,310.17 and 146,229.78 is: 219,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,206.78 : 780,310.17 = 146,229.78 : x
  2. Step 2: Convert to fraction form
    520,206.78/780,310.17 = 146,229.78/x
  3. Step 3: Cross multiply
    520,206.78x = 780,310.17 × 146,229.78
  4. Step 4: Simplify right side
    520,206.78x = 114,104,584,490.86
  5. Step 5: Solve for x
    x = 114,104,584,490.86/520,206.78
  6. Step 6: Final answer
    x = 219,344.67

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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.