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Finding the Fourth Proportional to 614,323.28, 921,104.76 and 239,906

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Solution

The fourth proportional to 614,323.28, 921,104.76 and 239,906 is: 359,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,323.28 : 921,104.76 = 239,906 : x
  2. Step 2: Convert to fraction form
    614,323.28/921,104.76 = 239,906/x
  3. Step 3: Cross multiply
    614,323.28x = 921,104.76 × 239,906
  4. Step 4: Simplify right side
    614,323.28x = 220,978,558,552.56
  5. Step 5: Solve for x
    x = 220,978,558,552.56/614,323.28
  6. Step 6: Final answer
    x = 359,710.54

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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.