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Finding the Fourth Proportional to 702,891.20, 969,969.12 and 396,980.12

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Solution

The fourth proportional to 702,891.20, 969,969.12 and 396,980.12 is: 547,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,891.20 : 969,969.12 = 396,980.12 : x
  2. Step 2: Convert to fraction form
    702,891.20/969,969.12 = 396,980.12/x
  3. Step 3: Cross multiply
    702,891.20x = 969,969.12 × 396,980.12
  4. Step 4: Simplify right side
    702,891.20x = 385,058,457,653.89
  5. Step 5: Solve for x
    x = 385,058,457,653.89/702,891.20
  6. Step 6: Final answer
    x = 547,820.85

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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.