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Finding the Fourth Proportional to 390,169.92, 538,431.12 and 211,321.92

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Solution

The fourth proportional to 390,169.92, 538,431.12 and 211,321.92 is: 291,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,169.92 : 538,431.12 = 211,321.92 : x
  2. Step 2: Convert to fraction form
    390,169.92/538,431.12 = 211,321.92/x
  3. Step 3: Cross multiply
    390,169.92x = 538,431.12 × 211,321.92
  4. Step 4: Simplify right side
    390,169.92x = 113,782,298,066.15
  5. Step 5: Solve for x
    x = 113,782,298,066.15/390,169.92
  6. Step 6: Final answer
    x = 291,622.42

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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.