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Finding the Fourth Proportional to 431,886, 647,867.86 and 116,335.92

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Solution

The fourth proportional to 431,886, 647,867.86 and 116,335.92 is: 174,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,886 : 647,867.86 = 116,335.92 : x
  2. Step 2: Convert to fraction form
    431,886/647,867.86 = 116,335.92/x
  3. Step 3: Cross multiply
    431,886x = 647,867.86 × 116,335.92
  4. Step 4: Simplify right side
    431,886x = 75,370,303,531.53
  5. Step 5: Solve for x
    x = 75,370,303,531.53/431,886
  6. Step 6: Final answer
    x = 174,514.35

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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.