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Finding the Fourth Proportional to 285,974.87, 428,998.06 and 86,294.93

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Solution

The fourth proportional to 285,974.87, 428,998.06 and 86,294.93 is: 129,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.87 : 428,998.06 = 86,294.93 : x
  2. Step 2: Convert to fraction form
    285,974.87/428,998.06 = 86,294.93/x
  3. Step 3: Cross multiply
    285,974.87x = 428,998.06 × 86,294.93
  4. Step 4: Simplify right side
    285,974.87x = 37,020,357,557.84
  5. Step 5: Solve for x
    x = 37,020,357,557.84/285,974.87
  6. Step 6: Final answer
    x = 129,453.18

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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.