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Finding the Fourth Proportional to 484,300.56, 726,204.16 and 256,721.28

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Solution

The fourth proportional to 484,300.56, 726,204.16 and 256,721.28 is: 384,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,300.56 : 726,204.16 = 256,721.28 : x
  2. Step 2: Convert to fraction form
    484,300.56/726,204.16 = 256,721.28/x
  3. Step 3: Cross multiply
    484,300.56x = 726,204.16 × 256,721.28
  4. Step 4: Simplify right side
    484,300.56x = 186,432,061,496.53
  5. Step 5: Solve for x
    x = 186,432,061,496.53/484,300.56
  6. Step 6: Final answer
    x = 384,951.16

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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.