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Finding the Fourth Proportional to 287,341.28, 431,208.56 and 100,352.80

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Solution

The fourth proportional to 287,341.28, 431,208.56 and 100,352.80 is: 150,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,341.28 : 431,208.56 = 100,352.80 : x
  2. Step 2: Convert to fraction form
    287,341.28/431,208.56 = 100,352.80/x
  3. Step 3: Cross multiply
    287,341.28x = 431,208.56 × 100,352.80
  4. Step 4: Simplify right side
    287,341.28x = 43,272,986,379.97
  5. Step 5: Solve for x
    x = 43,272,986,379.97/287,341.28
  6. Step 6: Final answer
    x = 150,597.88

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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.