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Finding the Fourth Proportional to 560,250.30, 840,375.47 and 205,120.38

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Solution

The fourth proportional to 560,250.30, 840,375.47 and 205,120.38 is: 307,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,250.30 : 840,375.47 = 205,120.38 : x
  2. Step 2: Convert to fraction form
    560,250.30/840,375.47 = 205,120.38/x
  3. Step 3: Cross multiply
    560,250.30x = 840,375.47 × 205,120.38
  4. Step 4: Simplify right side
    560,250.30x = 172,378,135,749.08
  5. Step 5: Solve for x
    x = 172,378,135,749.08/560,250.30
  6. Step 6: Final answer
    x = 307,680.58

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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.