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Finding the Fourth Proportional to 329,804.61, 494,943.12 and 140,397.77

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Solution

The fourth proportional to 329,804.61, 494,943.12 and 140,397.77 is: 210,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,804.61 : 494,943.12 = 140,397.77 : x
  2. Step 2: Convert to fraction form
    329,804.61/494,943.12 = 140,397.77/x
  3. Step 3: Cross multiply
    329,804.61x = 494,943.12 × 140,397.77
  4. Step 4: Simplify right side
    329,804.61x = 69,488,907,850.13
  5. Step 5: Solve for x
    x = 69,488,907,850.13/329,804.61
  6. Step 6: Final answer
    x = 210,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.