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Finding the Fourth Proportional to 283,065.35, 390,639.52 and 162,229.79

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Solution

The fourth proportional to 283,065.35, 390,639.52 and 162,229.79 is: 223,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,065.35 : 390,639.52 = 162,229.79 : x
  2. Step 2: Convert to fraction form
    283,065.35/390,639.52 = 162,229.79/x
  3. Step 3: Cross multiply
    283,065.35x = 390,639.52 × 162,229.79
  4. Step 4: Simplify right side
    283,065.35x = 63,373,368,474.69
  5. Step 5: Solve for x
    x = 63,373,368,474.69/283,065.35
  6. Step 6: Final answer
    x = 223,882.47

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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.