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Finding the Fourth Proportional to 287,245.58, 431,065.17 and 100,257.08

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Solution

The fourth proportional to 287,245.58, 431,065.17 and 100,257.08 is: 150,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,245.58 : 431,065.17 = 100,257.08 : x
  2. Step 2: Convert to fraction form
    287,245.58/431,065.17 = 100,257.08/x
  3. Step 3: Cross multiply
    287,245.58x = 431,065.17 × 100,257.08
  4. Step 4: Simplify right side
    287,245.58x = 43,217,335,233.90
  5. Step 5: Solve for x
    x = 43,217,335,233.90/287,245.58
  6. Step 6: Final answer
    x = 150,454.31

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1.5x scale

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.