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Finding the Fourth Proportional to 614,321.28, 921,101.76 and 239,904

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Solution

The fourth proportional to 614,321.28, 921,101.76 and 239,904 is: 359,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,321.28 : 921,101.76 = 239,904 : x
  2. Step 2: Convert to fraction form
    614,321.28/921,101.76 = 239,904/x
  3. Step 3: Cross multiply
    614,321.28x = 921,101.76 × 239,904
  4. Step 4: Simplify right side
    614,321.28x = 220,975,996,631.04
  5. Step 5: Solve for x
    x = 220,975,996,631.04/614,321.28
  6. Step 6: Final answer
    x = 359,707.54

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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.