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Finding the Fourth Proportional to 288,609.90, 398,280.48 and 161,285.46

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Solution

The fourth proportional to 288,609.90, 398,280.48 and 161,285.46 is: 222,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609.90 : 398,280.48 = 161,285.46 : x
  2. Step 2: Convert to fraction form
    288,609.90/398,280.48 = 161,285.46/x
  3. Step 3: Cross multiply
    288,609.90x = 398,280.48 × 161,285.46
  4. Step 4: Simplify right side
    288,609.90x = 64,236,850,425.82
  5. Step 5: Solve for x
    x = 64,236,850,425.82/288,609.90
  6. Step 6: Final answer
    x = 222,573.27

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1.5x scale

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.