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Finding the Fourth Proportional to 287,244.19, 431,063.15 and 100,255.69

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Solution

The fourth proportional to 287,244.19, 431,063.15 and 100,255.69 is: 150,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,244.19 : 431,063.15 = 100,255.69 : x
  2. Step 2: Convert to fraction form
    287,244.19/431,063.15 = 100,255.69/x
  3. Step 3: Cross multiply
    287,244.19x = 431,063.15 × 100,255.69
  4. Step 4: Simplify right side
    287,244.19x = 43,216,531,957.89
  5. Step 5: Solve for x
    x = 43,216,531,957.89/287,244.19
  6. Step 6: Final answer
    x = 150,452.24

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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.