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Finding the Fourth Proportional to 261,647.20, 391,498.80 and 191,663.20

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Solution

The fourth proportional to 261,647.20, 391,498.80 and 191,663.20 is: 286,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,647.20 : 391,498.80 = 191,663.20 : x
  2. Step 2: Convert to fraction form
    261,647.20/391,498.80 = 191,663.20/x
  3. Step 3: Cross multiply
    261,647.20x = 391,498.80 × 191,663.20
  4. Step 4: Simplify right side
    261,647.20x = 75,035,912,804.16
  5. Step 5: Solve for x
    x = 75,035,912,804.16/261,647.20
  6. Step 6: Final answer
    x = 286,782.79

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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.