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Finding the Fourth Proportional to 392,963.16, 589,451.22 and 143,643

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Solution

The fourth proportional to 392,963.16, 589,451.22 and 143,643 is: 215,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,963.16 : 589,451.22 = 143,643 : x
  2. Step 2: Convert to fraction form
    392,963.16/589,451.22 = 143,643/x
  3. Step 3: Cross multiply
    392,963.16x = 589,451.22 × 143,643
  4. Step 4: Simplify right side
    392,963.16x = 84,670,541,594.46
  5. Step 5: Solve for x
    x = 84,670,541,594.46/392,963.16
  6. Step 6: Final answer
    x = 215,466.87

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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.