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Finding the Fourth Proportional to 355,911, 491,153.48 and 202,974.10

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Solution

The fourth proportional to 355,911, 491,153.48 and 202,974.10 is: 280,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,911 : 491,153.48 = 202,974.10 : x
  2. Step 2: Convert to fraction form
    355,911/491,153.48 = 202,974.10/x
  3. Step 3: Cross multiply
    355,911x = 491,153.48 × 202,974.10
  4. Step 4: Simplify right side
    355,911x = 99,691,435,564.87
  5. Step 5: Solve for x
    x = 99,691,435,564.87/355,911
  6. Step 6: Final answer
    x = 280,102.15

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1.5x scale

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.