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Finding the Fourth Proportional to 420,829.92, 580,721.76 and 239,586

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Solution

The fourth proportional to 420,829.92, 580,721.76 and 239,586 is: 330,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,829.92 : 580,721.76 = 239,586 : x
  2. Step 2: Convert to fraction form
    420,829.92/580,721.76 = 239,586/x
  3. Step 3: Cross multiply
    420,829.92x = 580,721.76 × 239,586
  4. Step 4: Simplify right side
    420,829.92x = 139,132,803,591.36
  5. Step 5: Solve for x
    x = 139,132,803,591.36/420,829.92
  6. Step 6: Final answer
    x = 330,615.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.