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Finding the Fourth Proportional to 290,038.64, 400,218.36 and 160,976.48

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Solution

The fourth proportional to 290,038.64, 400,218.36 and 160,976.48 is: 222,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.64 : 400,218.36 = 160,976.48 : x
  2. Step 2: Convert to fraction form
    290,038.64/400,218.36 = 160,976.48/x
  3. Step 3: Cross multiply
    290,038.64x = 400,218.36 × 160,976.48
  4. Step 4: Simplify right side
    290,038.64x = 64,425,742,824.17
  5. Step 5: Solve for x
    x = 64,425,742,824.17/290,038.64
  6. Step 6: Final answer
    x = 222,128.14

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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.