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Finding the Fourth Proportional to 288,640.81, 398,324.90 and 161,316.40

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Solution

The fourth proportional to 288,640.81, 398,324.90 and 161,316.40 is: 222,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,640.81 : 398,324.90 = 161,316.40 : x
  2. Step 2: Convert to fraction form
    288,640.81/398,324.90 = 161,316.40/x
  3. Step 3: Cross multiply
    288,640.81x = 398,324.90 × 161,316.40
  4. Step 4: Simplify right side
    288,640.81x = 64,256,338,898.36
  5. Step 5: Solve for x
    x = 64,256,338,898.36/288,640.81
  6. Step 6: Final answer
    x = 222,616.96

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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.