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Finding the Fourth Proportional to 702,221.19, 969,064.74 and 396,361.95

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Solution

The fourth proportional to 702,221.19, 969,064.74 and 396,361.95 is: 546,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,221.19 : 969,064.74 = 396,361.95 : x
  2. Step 2: Convert to fraction form
    702,221.19/969,064.74 = 396,361.95/x
  3. Step 3: Cross multiply
    702,221.19x = 969,064.74 × 396,361.95
  4. Step 4: Simplify right side
    702,221.19x = 384,100,390,022.64
  5. Step 5: Solve for x
    x = 384,100,390,022.64/702,221.19
  6. Step 6: Final answer
    x = 546,979.21

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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.