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Finding the Fourth Proportional to 287,696.70, 431,545.08 and 127,735.02

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Solution

The fourth proportional to 287,696.70, 431,545.08 and 127,735.02 is: 191,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,696.70 : 431,545.08 = 127,735.02 : x
  2. Step 2: Convert to fraction form
    287,696.70/431,545.08 = 127,735.02/x
  3. Step 3: Cross multiply
    287,696.70x = 431,545.08 × 127,735.02
  4. Step 4: Simplify right side
    287,696.70x = 55,123,419,424.70
  5. Step 5: Solve for x
    x = 55,123,419,424.70/287,696.70
  6. Step 6: Final answer
    x = 191,602.54

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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.