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Finding the Fourth Proportional to 288,680.28, 398,368.09 and 161,358

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Solution

The fourth proportional to 288,680.28, 398,368.09 and 161,358 is: 222,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,680.28 : 398,368.09 = 161,358 : x
  2. Step 2: Convert to fraction form
    288,680.28/398,368.09 = 161,358/x
  3. Step 3: Cross multiply
    288,680.28x = 398,368.09 × 161,358
  4. Step 4: Simplify right side
    288,680.28x = 64,279,878,266.22
  5. Step 5: Solve for x
    x = 64,279,878,266.22/288,680.28
  6. Step 6: Final answer
    x = 222,668.06

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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.