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Finding the Fourth Proportional to 288,257.89, 432,342.49 and 96,135.69

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Solution

The fourth proportional to 288,257.89, 432,342.49 and 96,135.69 is: 144,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,257.89 : 432,342.49 = 96,135.69 : x
  2. Step 2: Convert to fraction form
    288,257.89/432,342.49 = 96,135.69/x
  3. Step 3: Cross multiply
    288,257.89x = 432,342.49 × 96,135.69
  4. Step 4: Simplify right side
    288,257.89x = 41,563,543,592.47
  5. Step 5: Solve for x
    x = 41,563,543,592.47/288,257.89
  6. Step 6: Final answer
    x = 144,188.75

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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.