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Finding the Fourth Proportional to 287,456.64, 431,170.32 and 109,950

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Solution

The fourth proportional to 287,456.64, 431,170.32 and 109,950 is: 164,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.64 : 431,170.32 = 109,950 : x
  2. Step 2: Convert to fraction form
    287,456.64/431,170.32 = 109,950/x
  3. Step 3: Cross multiply
    287,456.64x = 431,170.32 × 109,950
  4. Step 4: Simplify right side
    287,456.64x = 47,407,176,684
  5. Step 5: Solve for x
    x = 47,407,176,684/287,456.64
  6. Step 6: Final answer
    x = 164,919.40

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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.