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Finding the Fourth Proportional to 287,687.33, 431,676.75 and 191,690.16

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Solution

The fourth proportional to 287,687.33, 431,676.75 and 191,690.16 is: 287,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,687.33 : 431,676.75 = 191,690.16 : x
  2. Step 2: Convert to fraction form
    287,687.33/431,676.75 = 191,690.16/x
  3. Step 3: Cross multiply
    287,687.33x = 431,676.75 × 191,690.16
  4. Step 4: Simplify right side
    287,687.33x = 82,748,185,275.78
  5. Step 5: Solve for x
    x = 82,748,185,275.78/287,687.33
  6. Step 6: Final answer
    x = 287,632.36

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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.