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Finding the Fourth Proportional to 202,921.20, 304,381.80 and 193,244.40

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Solution

The fourth proportional to 202,921.20, 304,381.80 and 193,244.40 is: 289,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921.20 : 304,381.80 = 193,244.40 : x
  2. Step 2: Convert to fraction form
    202,921.20/304,381.80 = 193,244.40/x
  3. Step 3: Cross multiply
    202,921.20x = 304,381.80 × 193,244.40
  4. Step 4: Simplify right side
    202,921.20x = 58,820,078,311.92
  5. Step 5: Solve for x
    x = 58,820,078,311.92/202,921.20
  6. Step 6: Final answer
    x = 289,866.60

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1.5x scale

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.