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Finding the Fourth Proportional to 287,485.56, 431,293.92 and 87,834.30

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Solution

The fourth proportional to 287,485.56, 431,293.92 and 87,834.30 is: 131,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,485.56 : 431,293.92 = 87,834.30 : x
  2. Step 2: Convert to fraction form
    287,485.56/431,293.92 = 87,834.30/x
  3. Step 3: Cross multiply
    287,485.56x = 431,293.92 × 87,834.30
  4. Step 4: Simplify right side
    287,485.56x = 37,882,399,557.46
  5. Step 5: Solve for x
    x = 37,882,399,557.46/287,485.56
  6. Step 6: Final answer
    x = 131,771.49

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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.