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Finding the Fourth Proportional to 341,906.40, 513,280.80 and 215,546.40

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Solution

The fourth proportional to 341,906.40, 513,280.80 and 215,546.40 is: 323,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,906.40 : 513,280.80 = 215,546.40 : x
  2. Step 2: Convert to fraction form
    341,906.40/513,280.80 = 215,546.40/x
  3. Step 3: Cross multiply
    341,906.40x = 513,280.80 × 215,546.40
  4. Step 4: Simplify right side
    341,906.40x = 110,635,828,629.12
  5. Step 5: Solve for x
    x = 110,635,828,629.12/341,906.40
  6. Step 6: Final answer
    x = 323,585.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.