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Finding the Fourth Proportional to 288,562.25, 398,208.48 and 161,238.89

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Solution

The fourth proportional to 288,562.25, 398,208.48 and 161,238.89 is: 222,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,562.25 : 398,208.48 = 161,238.89 : x
  2. Step 2: Convert to fraction form
    288,562.25/398,208.48 = 161,238.89/x
  3. Step 3: Cross multiply
    288,562.25x = 398,208.48 × 161,238.89
  4. Step 4: Simplify right side
    288,562.25x = 64,206,693,303.79
  5. Step 5: Solve for x
    x = 64,206,693,303.79/288,562.25
  6. Step 6: Final answer
    x = 222,505.52

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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.