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Finding the Fourth Proportional to 384,199.12, 576,501.72 and 272,600.56

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Solution

The fourth proportional to 384,199.12, 576,501.72 and 272,600.56 is: 409,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,199.12 : 576,501.72 = 272,600.56 : x
  2. Step 2: Convert to fraction form
    384,199.12/576,501.72 = 272,600.56/x
  3. Step 3: Cross multiply
    384,199.12x = 576,501.72 × 272,600.56
  4. Step 4: Simplify right side
    384,199.12x = 157,154,691,712.96
  5. Step 5: Solve for x
    x = 157,154,691,712.96/384,199.12
  6. Step 6: Final answer
    x = 409,044.90

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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.