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Finding the Fourth Proportional to 523,756.92, 722,764.17 and 320,148.75

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Solution

The fourth proportional to 523,756.92, 722,764.17 and 320,148.75 is: 441,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,756.92 : 722,764.17 = 320,148.75 : x
  2. Step 2: Convert to fraction form
    523,756.92/722,764.17 = 320,148.75/x
  3. Step 3: Cross multiply
    523,756.92x = 722,764.17 × 320,148.75
  4. Step 4: Simplify right side
    523,756.92x = 231,392,045,570.29
  5. Step 5: Solve for x
    x = 231,392,045,570.29/523,756.92
  6. Step 6: Final answer
    x = 441,792.82

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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.