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Finding the Fourth Proportional to 287,376.75, 431,263.17 and 100,388.25

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Solution

The fourth proportional to 287,376.75, 431,263.17 and 100,388.25 is: 150,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,376.75 : 431,263.17 = 100,388.25 : x
  2. Step 2: Convert to fraction form
    287,376.75/431,263.17 = 100,388.25/x
  3. Step 3: Cross multiply
    287,376.75x = 431,263.17 × 100,388.25
  4. Step 4: Simplify right side
    287,376.75x = 43,293,754,925.75
  5. Step 5: Solve for x
    x = 43,293,754,925.75/287,376.75
  6. Step 6: Final answer
    x = 150,651.56

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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.