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Finding the Fourth Proportional to 392,789.12, 542,256.12 and 264,402.60

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Solution

The fourth proportional to 392,789.12, 542,256.12 and 264,402.60 is: 365,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,789.12 : 542,256.12 = 264,402.60 : x
  2. Step 2: Convert to fraction form
    392,789.12/542,256.12 = 264,402.60/x
  3. Step 3: Cross multiply
    392,789.12x = 542,256.12 × 264,402.60
  4. Step 4: Simplify right side
    392,789.12x = 143,373,927,993.91
  5. Step 5: Solve for x
    x = 143,373,927,993.91/392,789.12
  6. Step 6: Final answer
    x = 365,015.02

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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.