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Finding the Fourth Proportional to 388,403.84, 582,832.16 and 163,750.56

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Solution

The fourth proportional to 388,403.84, 582,832.16 and 163,750.56 is: 245,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,403.84 : 582,832.16 = 163,750.56 : x
  2. Step 2: Convert to fraction form
    388,403.84/582,832.16 = 163,750.56/x
  3. Step 3: Cross multiply
    388,403.84x = 582,832.16 × 163,750.56
  4. Step 4: Simplify right side
    388,403.84x = 95,439,092,586.01
  5. Step 5: Solve for x
    x = 95,439,092,586.01/388,403.84
  6. Step 6: Final answer
    x = 245,721.29

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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.