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Finding the Fourth Proportional to 419,384.43, 628,454.55 and 308,032.11

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Solution

The fourth proportional to 419,384.43, 628,454.55 and 308,032.11 is: 461,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,384.43 : 628,454.55 = 308,032.11 : x
  2. Step 2: Convert to fraction form
    419,384.43/628,454.55 = 308,032.11/x
  3. Step 3: Cross multiply
    419,384.43x = 628,454.55 × 308,032.11
  4. Step 4: Simplify right side
    419,384.43x = 193,584,178,703.41
  5. Step 5: Solve for x
    x = 193,584,178,703.41/419,384.43
  6. Step 6: Final answer
    x = 461,591.24

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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.