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Finding the Fourth Proportional to 392,909.64, 542,073.24 and 257,021.16

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Solution

The fourth proportional to 392,909.64, 542,073.24 and 257,021.16 is: 354,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,909.64 : 542,073.24 = 257,021.16 : x
  2. Step 2: Convert to fraction form
    392,909.64/542,073.24 = 257,021.16/x
  3. Step 3: Cross multiply
    392,909.64x = 542,073.24 × 257,021.16
  4. Step 4: Simplify right side
    392,909.64x = 139,324,292,949.76
  5. Step 5: Solve for x
    x = 139,324,292,949.76/392,909.64
  6. Step 6: Final answer
    x = 354,596.27

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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.