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Finding the Fourth Proportional to 340,434.08, 469,881.78 and 197,171

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Solution

The fourth proportional to 340,434.08, 469,881.78 and 197,171 is: 272,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,434.08 : 469,881.78 = 197,171 : x
  2. Step 2: Convert to fraction form
    340,434.08/469,881.78 = 197,171/x
  3. Step 3: Cross multiply
    340,434.08x = 469,881.78 × 197,171
  4. Step 4: Simplify right side
    340,434.08x = 92,647,060,444.38
  5. Step 5: Solve for x
    x = 92,647,060,444.38/340,434.08
  6. Step 6: Final answer
    x = 272,143.91

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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.