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Finding the Fourth Proportional to 567,505.20, 783,162.64 and 312,865.68

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Solution

The fourth proportional to 567,505.20, 783,162.64 and 312,865.68 is: 431,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,505.20 : 783,162.64 = 312,865.68 : x
  2. Step 2: Convert to fraction form
    567,505.20/783,162.64 = 312,865.68/x
  3. Step 3: Cross multiply
    567,505.20x = 783,162.64 × 312,865.68
  4. Step 4: Simplify right side
    567,505.20x = 245,024,711,914.20
  5. Step 5: Solve for x
    x = 245,024,711,914.20/567,505.20
  6. Step 6: Final answer
    x = 431,757.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.