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Finding the Fourth Proportional to 288,580.02, 398,239.44 and 161,255.61

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Solution

The fourth proportional to 288,580.02, 398,239.44 and 161,255.61 is: 222,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,580.02 : 398,239.44 = 161,255.61 : x
  2. Step 2: Convert to fraction form
    288,580.02/398,239.44 = 161,255.61/x
  3. Step 3: Cross multiply
    288,580.02x = 398,239.44 × 161,255.61
  4. Step 4: Simplify right side
    288,580.02x = 64,218,343,823.26
  5. Step 5: Solve for x
    x = 64,218,343,823.26/288,580.02
  6. Step 6: Final answer
    x = 222,532.19

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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.