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Finding the Fourth Proportional to 542,843.10, 749,109 and 313,392.66

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Solution

The fourth proportional to 542,843.10, 749,109 and 313,392.66 is: 432,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,843.10 : 749,109 = 313,392.66 : x
  2. Step 2: Convert to fraction form
    542,843.10/749,109 = 313,392.66/x
  3. Step 3: Cross multiply
    542,843.10x = 749,109 × 313,392.66
  4. Step 4: Simplify right side
    542,843.10x = 234,765,262,139.94
  5. Step 5: Solve for x
    x = 234,765,262,139.94/542,843.10
  6. Step 6: Final answer
    x = 432,473.51

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1.5x scale

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.