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Finding the Fourth Proportional to 392,168.83, 541,192.98 and 222,402.95

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Solution

The fourth proportional to 392,168.83, 541,192.98 and 222,402.95 is: 306,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,168.83 : 541,192.98 = 222,402.95 : x
  2. Step 2: Convert to fraction form
    392,168.83/541,192.98 = 222,402.95/x
  3. Step 3: Cross multiply
    392,168.83x = 541,192.98 × 222,402.95
  4. Step 4: Simplify right side
    392,168.83x = 120,362,915,271.29
  5. Step 5: Solve for x
    x = 120,362,915,271.29/392,168.83
  6. Step 6: Final answer
    x = 306,916.07

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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.