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Finding the Fourth Proportional to 543,008.50, 814,534.71 and 258,552.70

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Solution

The fourth proportional to 543,008.50, 814,534.71 and 258,552.70 is: 387,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,008.50 : 814,534.71 = 258,552.70 : x
  2. Step 2: Convert to fraction form
    543,008.50/814,534.71 = 258,552.70/x
  3. Step 3: Cross multiply
    543,008.50x = 814,534.71 × 258,552.70
  4. Step 4: Simplify right side
    543,008.50x = 210,600,148,514.22
  5. Step 5: Solve for x
    x = 210,600,148,514.22/543,008.50
  6. Step 6: Final answer
    x = 387,839.51

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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.