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Finding the Fourth Proportional to 283,176, 390,694.86 and 160,648.18

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Solution

The fourth proportional to 283,176, 390,694.86 and 160,648.18 is: 221,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,176 : 390,694.86 = 160,648.18 : x
  2. Step 2: Convert to fraction form
    283,176/390,694.86 = 160,648.18/x
  3. Step 3: Cross multiply
    283,176x = 390,694.86 × 160,648.18
  4. Step 4: Simplify right side
    283,176x = 62,764,417,217.62
  5. Step 5: Solve for x
    x = 62,764,417,217.62/283,176
  6. Step 6: Final answer
    x = 221,644.55

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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.