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Finding the Fourth Proportional to 296,630.60, 408,321.78 and 258,839.24

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Solution

The fourth proportional to 296,630.60, 408,321.78 and 258,839.24 is: 356,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,630.60 : 408,321.78 = 258,839.24 : x
  2. Step 2: Convert to fraction form
    296,630.60/408,321.78 = 258,839.24/x
  3. Step 3: Cross multiply
    296,630.60x = 408,321.78 × 258,839.24
  4. Step 4: Simplify right side
    296,630.60x = 105,689,699,210.65
  5. Step 5: Solve for x
    x = 105,689,699,210.65/296,630.60
  6. Step 6: Final answer
    x = 356,300.73

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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.