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Finding the Fourth Proportional to 255,220.20, 382,976.10 and 97,561.80

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Solution

The fourth proportional to 255,220.20, 382,976.10 and 97,561.80 is: 146,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,220.20 : 382,976.10 = 97,561.80 : x
  2. Step 2: Convert to fraction form
    255,220.20/382,976.10 = 97,561.80/x
  3. Step 3: Cross multiply
    255,220.20x = 382,976.10 × 97,561.80
  4. Step 4: Simplify right side
    255,220.20x = 37,363,837,672.98
  5. Step 5: Solve for x
    x = 37,363,837,672.98/255,220.20
  6. Step 6: Final answer
    x = 146,398.43

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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.