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Finding the Fourth Proportional to 702,396.61, 969,299.40 and 380,100.85

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Solution

The fourth proportional to 702,396.61, 969,299.40 and 380,100.85 is: 524,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,396.61 : 969,299.40 = 380,100.85 : x
  2. Step 2: Convert to fraction form
    702,396.61/969,299.40 = 380,100.85/x
  3. Step 3: Cross multiply
    702,396.61x = 969,299.40 × 380,100.85
  4. Step 4: Simplify right side
    702,396.61x = 368,431,525,844.49
  5. Step 5: Solve for x
    x = 368,431,525,844.49/702,396.61
  6. Step 6: Final answer
    x = 524,534.89

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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.