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Finding the Fourth Proportional to 613,930.32, 847,225.32 and 355,857.12

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Solution

The fourth proportional to 613,930.32, 847,225.32 and 355,857.12 is: 491,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,930.32 : 847,225.32 = 355,857.12 : x
  2. Step 2: Convert to fraction form
    613,930.32/847,225.32 = 355,857.12/x
  3. Step 3: Cross multiply
    613,930.32x = 847,225.32 × 355,857.12
  4. Step 4: Simplify right side
    613,930.32x = 301,491,162,366.28
  5. Step 5: Solve for x
    x = 301,491,162,366.28/613,930.32
  6. Step 6: Final answer
    x = 491,083.68

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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.