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Finding the Fourth Proportional to 486,241.92, 729,388.80 and 153,792

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Solution

The fourth proportional to 486,241.92, 729,388.80 and 153,792 is: 230,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,241.92 : 729,388.80 = 153,792 : x
  2. Step 2: Convert to fraction form
    486,241.92/729,388.80 = 153,792/x
  3. Step 3: Cross multiply
    486,241.92x = 729,388.80 × 153,792
  4. Step 4: Simplify right side
    486,241.92x = 112,174,162,329.60
  5. Step 5: Solve for x
    x = 112,174,162,329.60/486,241.92
  6. Step 6: Final answer
    x = 230,696.20

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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.