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Finding the Fourth Proportional to 283,245, 390,873.24 and 162,383.28

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Solution

The fourth proportional to 283,245, 390,873.24 and 162,383.28 is: 224,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,245 : 390,873.24 = 162,383.28 : x
  2. Step 2: Convert to fraction form
    283,245/390,873.24 = 162,383.28/x
  3. Step 3: Cross multiply
    283,245x = 390,873.24 × 162,383.28
  4. Step 4: Simplify right side
    283,245x = 63,471,278,775.43
  5. Step 5: Solve for x
    x = 63,471,278,775.43/283,245
  6. Step 6: Final answer
    x = 224,086.14

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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.