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Finding the Fourth Proportional to 541,036.56, 746,565.50 and 311,668.86

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Solution

The fourth proportional to 541,036.56, 746,565.50 and 311,668.86 is: 430,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,036.56 : 746,565.50 = 311,668.86 : x
  2. Step 2: Convert to fraction form
    541,036.56/746,565.50 = 311,668.86/x
  3. Step 3: Cross multiply
    541,036.56x = 746,565.50 × 311,668.86
  4. Step 4: Simplify right side
    541,036.56x = 232,681,218,300.33
  5. Step 5: Solve for x
    x = 232,681,218,300.33/541,036.56
  6. Step 6: Final answer
    x = 430,065.61

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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.