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Finding the Fourth Proportional to 265,407.30, 398,110.95 and 212,919.30

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Solution

The fourth proportional to 265,407.30, 398,110.95 and 212,919.30 is: 319,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,407.30 : 398,110.95 = 212,919.30 : x
  2. Step 2: Convert to fraction form
    265,407.30/398,110.95 = 212,919.30/x
  3. Step 3: Cross multiply
    265,407.30x = 398,110.95 × 212,919.30
  4. Step 4: Simplify right side
    265,407.30x = 84,765,504,796.34
  5. Step 5: Solve for x
    x = 84,765,504,796.34/265,407.30
  6. Step 6: Final answer
    x = 319,378.95

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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.