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Finding the Fourth Proportional to 287,245.71, 431,065.40 and 100,257.21

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Solution

The fourth proportional to 287,245.71, 431,065.40 and 100,257.21 is: 150,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,245.71 : 431,065.40 = 100,257.21 : x
  2. Step 2: Convert to fraction form
    287,245.71/431,065.40 = 100,257.21/x
  3. Step 3: Cross multiply
    287,245.71x = 431,065.40 × 100,257.21
  4. Step 4: Simplify right side
    287,245.71x = 43,217,413,830.25
  5. Step 5: Solve for x
    x = 43,217,413,830.25/287,245.71
  6. Step 6: Final answer
    x = 150,454.51

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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.