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Finding the Fourth Proportional to 702,419.96, 969,331.92 and 380,123.12

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Solution

The fourth proportional to 702,419.96, 969,331.92 and 380,123.12 is: 524,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,419.96 : 969,331.92 = 380,123.12 : x
  2. Step 2: Convert to fraction form
    702,419.96/969,331.92 = 380,123.12/x
  3. Step 3: Cross multiply
    702,419.96x = 969,331.92 × 380,123.12
  4. Step 4: Simplify right side
    702,419.96x = 368,465,473,745.99
  5. Step 5: Solve for x
    x = 368,465,473,745.99/702,419.96
  6. Step 6: Final answer
    x = 524,565.78

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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.