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Finding the Fourth Proportional to 288,546.40, 398,191.76 and 161,220.64

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Solution

The fourth proportional to 288,546.40, 398,191.76 and 161,220.64 is: 222,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,546.40 : 398,191.76 = 161,220.64 : x
  2. Step 2: Convert to fraction form
    288,546.40/398,191.76 = 161,220.64/x
  3. Step 3: Cross multiply
    288,546.40x = 398,191.76 × 161,220.64
  4. Step 4: Simplify right side
    288,546.40x = 64,196,730,389.93
  5. Step 5: Solve for x
    x = 64,196,730,389.93/288,546.40
  6. Step 6: Final answer
    x = 222,483.21

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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.