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Finding the Fourth Proportional to 354,100.80, 531,234.08 and 140,880.78

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Solution

The fourth proportional to 354,100.80, 531,234.08 and 140,880.78 is: 211,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,100.80 : 531,234.08 = 140,880.78 : x
  2. Step 2: Convert to fraction form
    354,100.80/531,234.08 = 140,880.78/x
  3. Step 3: Cross multiply
    354,100.80x = 531,234.08 × 140,880.78
  4. Step 4: Simplify right side
    354,100.80x = 74,840,671,552.98
  5. Step 5: Solve for x
    x = 74,840,671,552.98/354,100.80
  6. Step 6: Final answer
    x = 211,354.14

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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.