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Finding the Fourth Proportional to 287,246.43, 431,066.52 and 100,257.93

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Solution

The fourth proportional to 287,246.43, 431,066.52 and 100,257.93 is: 150,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,246.43 : 431,066.52 = 100,257.93 : x
  2. Step 2: Convert to fraction form
    287,246.43/431,066.52 = 100,257.93/x
  3. Step 3: Cross multiply
    287,246.43x = 431,066.52 × 100,257.93
  4. Step 4: Simplify right side
    287,246.43x = 43,217,836,987.50
  5. Step 5: Solve for x
    x = 43,217,836,987.50/287,246.43
  6. Step 6: Final answer
    x = 150,455.61

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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.