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Finding the Fourth Proportional to 287,424.75, 431,321.66 and 192,761.84

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Solution

The fourth proportional to 287,424.75, 431,321.66 and 192,761.84 is: 289,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,424.75 : 431,321.66 = 192,761.84 : x
  2. Step 2: Convert to fraction form
    287,424.75/431,321.66 = 192,761.84/x
  3. Step 3: Cross multiply
    287,424.75x = 431,321.66 × 192,761.84
  4. Step 4: Simplify right side
    287,424.75x = 83,142,357,650.81
  5. Step 5: Solve for x
    x = 83,142,357,650.81/287,424.75
  6. Step 6: Final answer
    x = 289,266.52

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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.