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Finding the Fourth Proportional to 287,722.80, 431,646.46 and 110,229.80

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Solution

The fourth proportional to 287,722.80, 431,646.46 and 110,229.80 is: 165,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.80 : 431,646.46 = 110,229.80 : x
  2. Step 2: Convert to fraction form
    287,722.80/431,646.46 = 110,229.80/x
  3. Step 3: Cross multiply
    287,722.80x = 431,646.46 × 110,229.80
  4. Step 4: Simplify right side
    287,722.80x = 47,580,302,956.51
  5. Step 5: Solve for x
    x = 47,580,302,956.51/287,722.80
  6. Step 6: Final answer
    x = 165,368.55

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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.