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Finding the Fourth Proportional to 217,429.76, 299,775.30 and 140,813.48

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Solution

The fourth proportional to 217,429.76, 299,775.30 and 140,813.48 is: 194,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,429.76 : 299,775.30 = 140,813.48 : x
  2. Step 2: Convert to fraction form
    217,429.76/299,775.30 = 140,813.48/x
  3. Step 3: Cross multiply
    217,429.76x = 299,775.30 × 140,813.48
  4. Step 4: Simplify right side
    217,429.76x = 42,212,401,712.17
  5. Step 5: Solve for x
    x = 42,212,401,712.17/217,429.76
  6. Step 6: Final answer
    x = 194,142.71

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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.