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Finding the Fourth Proportional to 265,909.16, 398,277.72 and 219,793.22

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Solution

The fourth proportional to 265,909.16, 398,277.72 and 219,793.22 is: 329,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909.16 : 398,277.72 = 219,793.22 : x
  2. Step 2: Convert to fraction form
    265,909.16/398,277.72 = 219,793.22/x
  3. Step 3: Cross multiply
    265,909.16x = 398,277.72 × 219,793.22
  4. Step 4: Simplify right side
    265,909.16x = 87,538,742,533.06
  5. Step 5: Solve for x
    x = 87,538,742,533.06/265,909.16
  6. Step 6: Final answer
    x = 329,205.44

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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.