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Finding the Fourth Proportional to 288,534.12, 398,164.29 and 161,206.98

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Solution

The fourth proportional to 288,534.12, 398,164.29 and 161,206.98 is: 222,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,534.12 : 398,164.29 = 161,206.98 : x
  2. Step 2: Convert to fraction form
    288,534.12/398,164.29 = 161,206.98/x
  3. Step 3: Cross multiply
    288,534.12x = 398,164.29 × 161,206.98
  4. Step 4: Simplify right side
    288,534.12x = 64,186,862,734.74
  5. Step 5: Solve for x
    x = 64,186,862,734.74/288,534.12
  6. Step 6: Final answer
    x = 222,458.48

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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.