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Finding the Fourth Proportional to 542,198.32, 748,314.38 and 312,712.76

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Solution

The fourth proportional to 542,198.32, 748,314.38 and 312,712.76 is: 431,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,198.32 : 748,314.38 = 312,712.76 : x
  2. Step 2: Convert to fraction form
    542,198.32/748,314.38 = 312,712.76/x
  3. Step 3: Cross multiply
    542,198.32x = 748,314.38 × 312,712.76
  4. Step 4: Simplify right side
    542,198.32x = 234,007,455,117.49
  5. Step 5: Solve for x
    x = 234,007,455,117.49/542,198.32
  6. Step 6: Final answer
    x = 431,590.15

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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.