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Finding the Fourth Proportional to 381,657.60, 572,486.40 and 192,700.80

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Solution

The fourth proportional to 381,657.60, 572,486.40 and 192,700.80 is: 289,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,657.60 : 572,486.40 = 192,700.80 : x
  2. Step 2: Convert to fraction form
    381,657.60/572,486.40 = 192,700.80/x
  3. Step 3: Cross multiply
    381,657.60x = 572,486.40 × 192,700.80
  4. Step 4: Simplify right side
    381,657.60x = 110,318,587,269.12
  5. Step 5: Solve for x
    x = 110,318,587,269.12/381,657.60
  6. Step 6: Final answer
    x = 289,051.20

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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.