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Finding the Fourth Proportional to 288,586.20, 432,879.30 and 78,223.80

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Solution

The fourth proportional to 288,586.20, 432,879.30 and 78,223.80 is: 117,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,586.20 : 432,879.30 = 78,223.80 : x
  2. Step 2: Convert to fraction form
    288,586.20/432,879.30 = 78,223.80/x
  3. Step 3: Cross multiply
    288,586.20x = 432,879.30 × 78,223.80
  4. Step 4: Simplify right side
    288,586.20x = 33,861,463,787.34
  5. Step 5: Solve for x
    x = 33,861,463,787.34/288,586.20
  6. Step 6: Final answer
    x = 117,335.70

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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.