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Finding the Fourth Proportional to 287,513.64, 431,255.70 and 110,007

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Solution

The fourth proportional to 287,513.64, 431,255.70 and 110,007 is: 165,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,513.64 : 431,255.70 = 110,007 : x
  2. Step 2: Convert to fraction form
    287,513.64/431,255.70 = 110,007/x
  3. Step 3: Cross multiply
    287,513.64x = 431,255.70 × 110,007
  4. Step 4: Simplify right side
    287,513.64x = 47,441,145,789.90
  5. Step 5: Solve for x
    x = 47,441,145,789.90/287,513.64
  6. Step 6: Final answer
    x = 165,004.85

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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.