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Finding the Fourth Proportional to 287,346.76, 431,083.50 and 87,682.56

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Solution

The fourth proportional to 287,346.76, 431,083.50 and 87,682.56 is: 131,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,346.76 : 431,083.50 = 87,682.56 : x
  2. Step 2: Convert to fraction form
    287,346.76/431,083.50 = 87,682.56/x
  3. Step 3: Cross multiply
    287,346.76x = 431,083.50 × 87,682.56
  4. Step 4: Simplify right side
    287,346.76x = 37,798,504,853.76
  5. Step 5: Solve for x
    x = 37,798,504,853.76/287,346.76
  6. Step 6: Final answer
    x = 131,543.17

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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.