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Finding the Fourth Proportional to 340,435.08, 469,883.16 and 197,172

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Solution

The fourth proportional to 340,435.08, 469,883.16 and 197,172 is: 272,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,435.08 : 469,883.16 = 197,172 : x
  2. Step 2: Convert to fraction form
    340,435.08/469,883.16 = 197,172/x
  3. Step 3: Cross multiply
    340,435.08x = 469,883.16 × 197,172
  4. Step 4: Simplify right side
    340,435.08x = 92,647,802,423.52
  5. Step 5: Solve for x
    x = 92,647,802,423.52/340,435.08
  6. Step 6: Final answer
    x = 272,145.29

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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.