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Finding the Fourth Proportional to 378,335.70, 522,103.29 and 217,201.20

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Solution

The fourth proportional to 378,335.70, 522,103.29 and 217,201.20 is: 299,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,335.70 : 522,103.29 = 217,201.20 : x
  2. Step 2: Convert to fraction form
    378,335.70/522,103.29 = 217,201.20/x
  3. Step 3: Cross multiply
    378,335.70x = 522,103.29 × 217,201.20
  4. Step 4: Simplify right side
    378,335.70x = 113,401,461,111.95
  5. Step 5: Solve for x
    x = 113,401,461,111.95/378,335.70
  6. Step 6: Final answer
    x = 299,737.67

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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.