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Finding the Fourth Proportional to 287,722.80, 431,422.20 and 110,235.60

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Solution

The fourth proportional to 287,722.80, 431,422.20 and 110,235.60 is: 165,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.80 : 431,422.20 = 110,235.60 : x
  2. Step 2: Convert to fraction form
    287,722.80/431,422.20 = 110,235.60/x
  3. Step 3: Cross multiply
    287,722.80x = 431,422.20 × 110,235.60
  4. Step 4: Simplify right side
    287,722.80x = 47,558,085,070.32
  5. Step 5: Solve for x
    x = 47,558,085,070.32/287,722.80
  6. Step 6: Final answer
    x = 165,291.33

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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.