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Finding the Fourth Proportional to 266,411.20, 399,616.80 and 192,053.20

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Solution

The fourth proportional to 266,411.20, 399,616.80 and 192,053.20 is: 288,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,411.20 : 399,616.80 = 192,053.20 : x
  2. Step 2: Convert to fraction form
    266,411.20/399,616.80 = 192,053.20/x
  3. Step 3: Cross multiply
    266,411.20x = 399,616.80 × 192,053.20
  4. Step 4: Simplify right side
    266,411.20x = 76,747,685,213.76
  5. Step 5: Solve for x
    x = 76,747,685,213.76/266,411.20
  6. Step 6: Final answer
    x = 288,079.80

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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.