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Finding the Fourth Proportional to 702,404.58, 969,320.77 and 380,114.60

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Solution

The fourth proportional to 702,404.58, 969,320.77 and 380,114.60 is: 524,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,404.58 : 969,320.77 = 380,114.60 : x
  2. Step 2: Convert to fraction form
    702,404.58/969,320.77 = 380,114.60/x
  3. Step 3: Cross multiply
    702,404.58x = 969,320.77 × 380,114.60
  4. Step 4: Simplify right side
    702,404.58x = 368,452,978,233.26
  5. Step 5: Solve for x
    x = 368,452,978,233.26/702,404.58
  6. Step 6: Final answer
    x = 524,559.48

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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.