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Finding the Fourth Proportional to 702,392.67, 969,301.89 and 380,102.75

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Solution

The fourth proportional to 702,392.67, 969,301.89 and 380,102.75 is: 524,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,392.67 : 969,301.89 = 380,102.75 : x
  2. Step 2: Convert to fraction form
    702,392.67/969,301.89 = 380,102.75/x
  3. Step 3: Cross multiply
    702,392.67x = 969,301.89 × 380,102.75
  4. Step 4: Simplify right side
    702,392.67x = 368,434,313,969.20
  5. Step 5: Solve for x
    x = 368,434,313,969.20/702,392.67
  6. Step 6: Final answer
    x = 524,541.80

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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.