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Finding the Fourth Proportional to 287,238.57, 431,054.67 and 100,250.07

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Solution

The fourth proportional to 287,238.57, 431,054.67 and 100,250.07 is: 150,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,238.57 : 431,054.67 = 100,250.07 : x
  2. Step 2: Convert to fraction form
    287,238.57/431,054.67 = 100,250.07/x
  3. Step 3: Cross multiply
    287,238.57x = 431,054.67 × 100,250.07
  4. Step 4: Simplify right side
    287,238.57x = 43,213,260,841.33
  5. Step 5: Solve for x
    x = 43,213,260,841.33/287,238.57
  6. Step 6: Final answer
    x = 150,443.80

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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.