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Finding the Fourth Proportional to 702,454.28, 969,388.07 and 380,164.65

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Solution

The fourth proportional to 702,454.28, 969,388.07 and 380,164.65 is: 524,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,454.28 : 969,388.07 = 380,164.65 : x
  2. Step 2: Convert to fraction form
    702,454.28/969,388.07 = 380,164.65/x
  3. Step 3: Cross multiply
    702,454.28x = 969,388.07 × 380,164.65
  4. Step 4: Simplify right side
    702,454.28x = 368,527,074,444.90
  5. Step 5: Solve for x
    x = 368,527,074,444.90/702,454.28
  6. Step 6: Final answer
    x = 524,627.85

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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.