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Finding the Fourth Proportional to 265,404, 398,106.03 and 68,412

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Solution

The fourth proportional to 265,404, 398,106.03 and 68,412 is: 102,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,404 : 398,106.03 = 68,412 : x
  2. Step 2: Convert to fraction form
    265,404/398,106.03 = 68,412/x
  3. Step 3: Cross multiply
    265,404x = 398,106.03 × 68,412
  4. Step 4: Simplify right side
    265,404x = 27,235,229,724.36
  5. Step 5: Solve for x
    x = 27,235,229,724.36/265,404
  6. Step 6: Final answer
    x = 102,618.01

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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.