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Finding the Fourth Proportional to 702,402.46, 969,317.84 and 380,112.47

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Solution

The fourth proportional to 702,402.46, 969,317.84 and 380,112.47 is: 524,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,402.46 : 969,317.84 = 380,112.47 : x
  2. Step 2: Convert to fraction form
    702,402.46/969,317.84 = 380,112.47/x
  3. Step 3: Cross multiply
    702,402.46x = 969,317.84 × 380,112.47
  4. Step 4: Simplify right side
    702,402.46x = 368,449,798,377.47
  5. Step 5: Solve for x
    x = 368,449,798,377.47/702,402.46
  6. Step 6: Final answer
    x = 524,556.53

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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.