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Finding the Fourth Proportional to 520,093.90, 780,143.28 and 220,499.20

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Solution

The fourth proportional to 520,093.90, 780,143.28 and 220,499.20 is: 330,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,093.90 : 780,143.28 = 220,499.20 : x
  2. Step 2: Convert to fraction form
    520,093.90/780,143.28 = 220,499.20/x
  3. Step 3: Cross multiply
    520,093.90x = 780,143.28 × 220,499.20
  4. Step 4: Simplify right side
    520,093.90x = 172,020,969,125.38
  5. Step 5: Solve for x
    x = 172,020,969,125.38/520,093.90
  6. Step 6: Final answer
    x = 330,749.83

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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.