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Finding the Fourth Proportional to 355,938.92, 491,191.99 and 203,002.01

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Solution

The fourth proportional to 355,938.92, 491,191.99 and 203,002.01 is: 280,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,938.92 : 491,191.99 = 203,002.01 : x
  2. Step 2: Convert to fraction form
    355,938.92/491,191.99 = 203,002.01/x
  3. Step 3: Cross multiply
    355,938.92x = 491,191.99 × 203,002.01
  4. Step 4: Simplify right side
    355,938.92x = 99,712,958,302.43
  5. Step 5: Solve for x
    x = 99,712,958,302.43/355,938.92
  6. Step 6: Final answer
    x = 280,140.65

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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.