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Finding the Fourth Proportional to 290,254.64, 400,507.88 and 162,905.63

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Solution

The fourth proportional to 290,254.64, 400,507.88 and 162,905.63 is: 224,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,254.64 : 400,507.88 = 162,905.63 : x
  2. Step 2: Convert to fraction form
    290,254.64/400,507.88 = 162,905.63/x
  3. Step 3: Cross multiply
    290,254.64x = 400,507.88 × 162,905.63
  4. Step 4: Simplify right side
    290,254.64x = 65,244,985,694.30
  5. Step 5: Solve for x
    x = 65,244,985,694.30/290,254.64
  6. Step 6: Final answer
    x = 224,785.34

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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.