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Finding the Fourth Proportional to 287,788.95, 431,437.25 and 110,423.25

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Solution

The fourth proportional to 287,788.95, 431,437.25 and 110,423.25 is: 165,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,788.95 : 431,437.25 = 110,423.25 : x
  2. Step 2: Convert to fraction form
    287,788.95/431,437.25 = 110,423.25/x
  3. Step 3: Cross multiply
    287,788.95x = 431,437.25 × 110,423.25
  4. Step 4: Simplify right side
    287,788.95x = 47,640,703,592.12
  5. Step 5: Solve for x
    x = 47,640,703,592.12/287,788.95
  6. Step 6: Final answer
    x = 165,540.42

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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.