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Finding the Fourth Proportional to 419,157, 578,436.73 and 228,171.83

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Solution

The fourth proportional to 419,157, 578,436.73 and 228,171.83 is: 314,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,157 : 578,436.73 = 228,171.83 : x
  2. Step 2: Convert to fraction form
    419,157/578,436.73 = 228,171.83/x
  3. Step 3: Cross multiply
    419,157x = 578,436.73 × 228,171.83
  4. Step 4: Simplify right side
    419,157x = 131,982,963,760.70
  5. Step 5: Solve for x
    x = 131,982,963,760.70/419,157
  6. Step 6: Final answer
    x = 314,877.16

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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.