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Finding the Fourth Proportional to 419,678.16, 628,990.53 and 330,579.78

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Solution

The fourth proportional to 419,678.16, 628,990.53 and 330,579.78 is: 495,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,678.16 : 628,990.53 = 330,579.78 : x
  2. Step 2: Convert to fraction form
    419,678.16/628,990.53 = 330,579.78/x
  3. Step 3: Cross multiply
    419,678.16x = 628,990.53 × 330,579.78
  4. Step 4: Simplify right side
    419,678.16x = 207,931,551,029.48
  5. Step 5: Solve for x
    x = 207,931,551,029.48/419,678.16
  6. Step 6: Final answer
    x = 495,454.78

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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.