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Finding the Fourth Proportional to 340,431.08, 469,877.64 and 197,168

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Solution

The fourth proportional to 340,431.08, 469,877.64 and 197,168 is: 272,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,431.08 : 469,877.64 = 197,168 : x
  2. Step 2: Convert to fraction form
    340,431.08/469,877.64 = 197,168/x
  3. Step 3: Cross multiply
    340,431.08x = 469,877.64 × 197,168
  4. Step 4: Simplify right side
    340,431.08x = 92,644,834,523.52
  5. Step 5: Solve for x
    x = 92,644,834,523.52/340,431.08
  6. Step 6: Final answer
    x = 272,139.77

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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.