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Finding the Fourth Proportional to 356,410, 491,845.80 and 197,434

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Solution

The fourth proportional to 356,410, 491,845.80 and 197,434 is: 272,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,410 : 491,845.80 = 197,434 : x
  2. Step 2: Convert to fraction form
    356,410/491,845.80 = 197,434/x
  3. Step 3: Cross multiply
    356,410x = 491,845.80 × 197,434
  4. Step 4: Simplify right side
    356,410x = 97,107,083,677.20
  5. Step 5: Solve for x
    x = 97,107,083,677.20/356,410
  6. Step 6: Final answer
    x = 272,458.92

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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.