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Finding the Fourth Proportional to 447,783.86, 617,932.85 and 243,837.20

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Solution

The fourth proportional to 447,783.86, 617,932.85 and 243,837.20 is: 336,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,783.86 : 617,932.85 = 243,837.20 : x
  2. Step 2: Convert to fraction form
    447,783.86/617,932.85 = 243,837.20/x
  3. Step 3: Cross multiply
    447,783.86x = 617,932.85 × 243,837.20
  4. Step 4: Simplify right side
    447,783.86x = 150,675,016,257.67
  5. Step 5: Solve for x
    x = 150,675,016,257.67/447,783.86
  6. Step 6: Final answer
    x = 336,490.50

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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.