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Finding the Fourth Proportional to 381,608.60, 572,697.30 and 145,412.60

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Solution

The fourth proportional to 381,608.60, 572,697.30 and 145,412.60 is: 218,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,608.60 : 572,697.30 = 145,412.60 : x
  2. Step 2: Convert to fraction form
    381,608.60/572,697.30 = 145,412.60/x
  3. Step 3: Cross multiply
    381,608.60x = 572,697.30 × 145,412.60
  4. Step 4: Simplify right side
    381,608.60x = 83,277,403,405.98
  5. Step 5: Solve for x
    x = 83,277,403,405.98/381,608.60
  6. Step 6: Final answer
    x = 218,227.27

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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.