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Finding the Fourth Proportional to 702,428.05, 969,353.22 and 380,138.10

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Solution

The fourth proportional to 702,428.05, 969,353.22 and 380,138.10 is: 524,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,428.05 : 969,353.22 = 380,138.10 : x
  2. Step 2: Convert to fraction form
    702,428.05/969,353.22 = 380,138.10/x
  3. Step 3: Cross multiply
    702,428.05x = 969,353.22 × 380,138.10
  4. Step 4: Simplify right side
    702,428.05x = 368,488,086,432.92
  5. Step 5: Solve for x
    x = 368,488,086,432.92/702,428.05
  6. Step 6: Final answer
    x = 524,591.93

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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.