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Finding the Fourth Proportional to 520,709.60, 781,064.40 and 188,207.84

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Solution

The fourth proportional to 520,709.60, 781,064.40 and 188,207.84 is: 282,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,709.60 : 781,064.40 = 188,207.84 : x
  2. Step 2: Convert to fraction form
    520,709.60/781,064.40 = 188,207.84/x
  3. Step 3: Cross multiply
    520,709.60x = 781,064.40 × 188,207.84
  4. Step 4: Simplify right side
    520,709.60x = 147,002,443,624.90
  5. Step 5: Solve for x
    x = 147,002,443,624.90/520,709.60
  6. Step 6: Final answer
    x = 282,311.76

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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.