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Finding the Fourth Proportional to 288,004.23, 431,990.16 and 88,324.06

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Solution

The fourth proportional to 288,004.23, 431,990.16 and 88,324.06 is: 132,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.23 : 431,990.16 = 88,324.06 : x
  2. Step 2: Convert to fraction form
    288,004.23/431,990.16 = 88,324.06/x
  3. Step 3: Cross multiply
    288,004.23x = 431,990.16 × 88,324.06
  4. Step 4: Simplify right side
    288,004.23x = 38,155,124,811.25
  5. Step 5: Solve for x
    x = 38,155,124,811.25/288,004.23
  6. Step 6: Final answer
    x = 132,481.13

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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.