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Finding the Fourth Proportional to 419,390.78, 578,783.50 and 315,839.58

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Solution

The fourth proportional to 419,390.78, 578,783.50 and 315,839.58 is: 435,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,390.78 : 578,783.50 = 315,839.58 : x
  2. Step 2: Convert to fraction form
    419,390.78/578,783.50 = 315,839.58/x
  3. Step 3: Cross multiply
    419,390.78x = 578,783.50 × 315,839.58
  4. Step 4: Simplify right side
    419,390.78x = 182,802,737,550.93
  5. Step 5: Solve for x
    x = 182,802,737,550.93/419,390.78
  6. Step 6: Final answer
    x = 435,876.86

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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.