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Finding the Fourth Proportional to 392,771.88, 542,025.86 and 223,006.01

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Solution

The fourth proportional to 392,771.88, 542,025.86 and 223,006.01 is: 307,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,771.88 : 542,025.86 = 223,006.01 : x
  2. Step 2: Convert to fraction form
    392,771.88/542,025.86 = 223,006.01/x
  3. Step 3: Cross multiply
    392,771.88x = 542,025.86 × 223,006.01
  4. Step 4: Simplify right side
    392,771.88x = 120,875,020,530.26
  5. Step 5: Solve for x
    x = 120,875,020,530.26/392,771.88
  6. Step 6: Final answer
    x = 307,748.66

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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.