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Finding the Fourth Proportional to 288,393.71, 432,309.38 and 115,233.84

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Solution

The fourth proportional to 288,393.71, 432,309.38 and 115,233.84 is: 172,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,393.71 : 432,309.38 = 115,233.84 : x
  2. Step 2: Convert to fraction form
    288,393.71/432,309.38 = 115,233.84/x
  3. Step 3: Cross multiply
    288,393.71x = 432,309.38 × 115,233.84
  4. Step 4: Simplify right side
    288,393.71x = 49,816,669,349.25
  5. Step 5: Solve for x
    x = 49,816,669,349.25/288,393.71
  6. Step 6: Final answer
    x = 172,738.41

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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.