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Finding the Fourth Proportional to 252,784.84, 348,861.45 and 145,388.56

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Solution

The fourth proportional to 252,784.84, 348,861.45 and 145,388.56 is: 200,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,784.84 : 348,861.45 = 145,388.56 : x
  2. Step 2: Convert to fraction form
    252,784.84/348,861.45 = 145,388.56/x
  3. Step 3: Cross multiply
    252,784.84x = 348,861.45 × 145,388.56
  4. Step 4: Simplify right side
    252,784.84x = 50,720,463,855.01
  5. Step 5: Solve for x
    x = 50,720,463,855.01/252,784.84
  6. Step 6: Final answer
    x = 200,646.78

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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.