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Finding the Fourth Proportional to 357,410.22, 538,625.46 and 321,916.02

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Solution

The fourth proportional to 357,410.22, 538,625.46 and 321,916.02 is: 485,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,410.22 : 538,625.46 = 321,916.02 : x
  2. Step 2: Convert to fraction form
    357,410.22/538,625.46 = 321,916.02/x
  3. Step 3: Cross multiply
    357,410.22x = 538,625.46 × 321,916.02
  4. Step 4: Simplify right side
    357,410.22x = 173,392,164,353.87
  5. Step 5: Solve for x
    x = 173,392,164,353.87/357,410.22
  6. Step 6: Final answer
    x = 485,134.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.