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Finding the Fourth Proportional to 288,612.90, 398,284.62 and 161,288.46

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Solution

The fourth proportional to 288,612.90, 398,284.62 and 161,288.46 is: 222,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,612.90 : 398,284.62 = 161,288.46 : x
  2. Step 2: Convert to fraction form
    288,612.90/398,284.62 = 161,288.46/x
  3. Step 3: Cross multiply
    288,612.90x = 398,284.62 × 161,288.46
  4. Step 4: Simplify right side
    288,612.90x = 64,238,713,001.49
  5. Step 5: Solve for x
    x = 64,238,713,001.49/288,612.90
  6. Step 6: Final answer
    x = 222,577.41

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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.