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Finding the Fourth Proportional to 419,003.59, 578,223.88 and 228,016.93

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Solution

The fourth proportional to 419,003.59, 578,223.88 and 228,016.93 is: 314,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,003.59 : 578,223.88 = 228,016.93 : x
  2. Step 2: Convert to fraction form
    419,003.59/578,223.88 = 228,016.93/x
  3. Step 3: Cross multiply
    419,003.59x = 578,223.88 × 228,016.93
  4. Step 4: Simplify right side
    419,003.59x = 131,844,833,970.29
  5. Step 5: Solve for x
    x = 131,844,833,970.29/419,003.59
  6. Step 6: Final answer
    x = 314,662.78

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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.