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Finding the Fourth Proportional to 329,316.28, 454,266.96 and 198,403

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Solution

The fourth proportional to 329,316.28, 454,266.96 and 198,403 is: 273,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,316.28 : 454,266.96 = 198,403 : x
  2. Step 2: Convert to fraction form
    329,316.28/454,266.96 = 198,403/x
  3. Step 3: Cross multiply
    329,316.28x = 454,266.96 × 198,403
  4. Step 4: Simplify right side
    329,316.28x = 90,127,927,664.88
  5. Step 5: Solve for x
    x = 90,127,927,664.88/329,316.28
  6. Step 6: Final answer
    x = 273,681.97

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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.