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Finding the Fourth Proportional to 356,405, 491,838.90 and 197,429

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Solution

The fourth proportional to 356,405, 491,838.90 and 197,429 is: 272,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,405 : 491,838.90 = 197,429 : x
  2. Step 2: Convert to fraction form
    356,405/491,838.90 = 197,429/x
  3. Step 3: Cross multiply
    356,405x = 491,838.90 × 197,429
  4. Step 4: Simplify right side
    356,405x = 97,103,262,188.10
  5. Step 5: Solve for x
    x = 97,103,262,188.10/356,405
  6. Step 6: Final answer
    x = 272,452.02

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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.