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Finding the Fourth Proportional to 702,309.12, 969,179.28 and 380,012.10

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Solution

The fourth proportional to 702,309.12, 969,179.28 and 380,012.10 is: 524,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,309.12 : 969,179.28 = 380,012.10 : x
  2. Step 2: Convert to fraction form
    702,309.12/969,179.28 = 380,012.10/x
  3. Step 3: Cross multiply
    702,309.12x = 969,179.28 × 380,012.10
  4. Step 4: Simplify right side
    702,309.12x = 368,299,853,469.29
  5. Step 5: Solve for x
    x = 368,299,853,469.29/702,309.12
  6. Step 6: Final answer
    x = 524,412.75

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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.