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Finding the Fourth Proportional to 287,989.97, 432,177.78 and 119,510.46

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Solution

The fourth proportional to 287,989.97, 432,177.78 and 119,510.46 is: 179,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,989.97 : 432,177.78 = 119,510.46 : x
  2. Step 2: Convert to fraction form
    287,989.97/432,177.78 = 119,510.46/x
  3. Step 3: Cross multiply
    287,989.97x = 432,177.78 × 119,510.46
  4. Step 4: Simplify right side
    287,989.97x = 51,649,764,692.03
  5. Step 5: Solve for x
    x = 51,649,764,692.03/287,989.97
  6. Step 6: Final answer
    x = 179,345.71

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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.