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Finding the Fourth Proportional to 329,756.30, 494,288.16 and 209,905.05

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Solution

The fourth proportional to 329,756.30, 494,288.16 and 209,905.05 is: 314,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,756.30 : 494,288.16 = 209,905.05 : x
  2. Step 2: Convert to fraction form
    329,756.30/494,288.16 = 209,905.05/x
  3. Step 3: Cross multiply
    329,756.30x = 494,288.16 × 209,905.05
  4. Step 4: Simplify right side
    329,756.30x = 103,753,580,939.21
  5. Step 5: Solve for x
    x = 103,753,580,939.21/329,756.30
  6. Step 6: Final answer
    x = 314,637.15

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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.