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Finding the Fourth Proportional to 290,308.32, 400,615.20 and 162,989.28

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Solution

The fourth proportional to 290,308.32, 400,615.20 and 162,989.28 is: 224,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,308.32 : 400,615.20 = 162,989.28 : x
  2. Step 2: Convert to fraction form
    290,308.32/400,615.20 = 162,989.28/x
  3. Step 3: Cross multiply
    290,308.32x = 400,615.20 × 162,989.28
  4. Step 4: Simplify right side
    290,308.32x = 65,295,983,005.06
  5. Step 5: Solve for x
    x = 65,295,983,005.06/290,308.32
  6. Step 6: Final answer
    x = 224,919.43

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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.