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Finding the Fourth Proportional to 340,456.40, 469,829.82 and 197,244.12

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Solution

The fourth proportional to 340,456.40, 469,829.82 and 197,244.12 is: 272,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,456.40 : 469,829.82 = 197,244.12 : x
  2. Step 2: Convert to fraction form
    340,456.40/469,829.82 = 197,244.12/x
  3. Step 3: Cross multiply
    340,456.40x = 469,829.82 × 197,244.12
  4. Step 4: Simplify right side
    340,456.40x = 92,671,169,395.66
  5. Step 5: Solve for x
    x = 92,671,169,395.66/340,456.40
  6. Step 6: Final answer
    x = 272,196.88

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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.