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Finding the Fourth Proportional to 702,419.14, 969,340.14 and 380,131.58

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Solution

The fourth proportional to 702,419.14, 969,340.14 and 380,131.58 is: 524,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,419.14 : 969,340.14 = 380,131.58 : x
  2. Step 2: Convert to fraction form
    702,419.14/969,340.14 = 380,131.58/x
  3. Step 3: Cross multiply
    702,419.14x = 969,340.14 × 380,131.58
  4. Step 4: Simplify right side
    702,419.14x = 368,476,800,329.85
  5. Step 5: Solve for x
    x = 368,476,800,329.85/702,419.14
  6. Step 6: Final answer
    x = 524,582.52

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1.5x scale

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.