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Finding the Fourth Proportional to 702,696.20, 969,721.08 and 380,406.30

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Solution

The fourth proportional to 702,696.20, 969,721.08 and 380,406.30 is: 524,960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,696.20 : 969,721.08 = 380,406.30 : x
  2. Step 2: Convert to fraction form
    702,696.20/969,721.08 = 380,406.30/x
  3. Step 3: Cross multiply
    702,696.20x = 969,721.08 × 380,406.30
  4. Step 4: Simplify right side
    702,696.20x = 368,888,008,074.80
  5. Step 5: Solve for x
    x = 368,888,008,074.80/702,696.20
  6. Step 6: Final answer
    x = 524,960.87

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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.