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Finding the Fourth Proportional to 487,942.80, 731,552.64 and 231,648.54

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Solution

The fourth proportional to 487,942.80, 731,552.64 and 231,648.54 is: 347,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,942.80 : 731,552.64 = 231,648.54 : x
  2. Step 2: Convert to fraction form
    487,942.80/731,552.64 = 231,648.54/x
  3. Step 3: Cross multiply
    487,942.80x = 731,552.64 × 231,648.54
  4. Step 4: Simplify right side
    487,942.80x = 169,463,100,989.15
  5. Step 5: Solve for x
    x = 169,463,100,989.15/487,942.80
  6. Step 6: Final answer
    x = 347,301.16

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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.