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Finding the Fourth Proportional to 702,691.05, 969,713.43 and 380,400.90

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Solution

The fourth proportional to 702,691.05, 969,713.43 and 380,400.90 is: 524,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,691.05 : 969,713.43 = 380,400.90 : x
  2. Step 2: Convert to fraction form
    702,691.05/969,713.43 = 380,400.90/x
  3. Step 3: Cross multiply
    702,691.05x = 969,713.43 × 380,400.90
  4. Step 4: Simplify right side
    702,691.05x = 368,879,861,514.09
  5. Step 5: Solve for x
    x = 368,879,861,514.09/702,691.05
  6. Step 6: Final answer
    x = 524,953.12

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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.