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Finding the Fourth Proportional to 290,165.64, 400,467.68 and 162,848.24

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Solution

The fourth proportional to 290,165.64, 400,467.68 and 162,848.24 is: 224,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,165.64 : 400,467.68 = 162,848.24 : x
  2. Step 2: Convert to fraction form
    290,165.64/400,467.68 = 162,848.24/x
  3. Step 3: Cross multiply
    290,165.64x = 400,467.68 × 162,848.24
  4. Step 4: Simplify right side
    290,165.64x = 65,215,456,864.88
  5. Step 5: Solve for x
    x = 65,215,456,864.88/290,165.64
  6. Step 6: Final answer
    x = 224,752.51

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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.