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Finding the Fourth Proportional to 419,269.50, 578,602.17 and 228,293.28

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Solution

The fourth proportional to 419,269.50, 578,602.17 and 228,293.28 is: 315,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,269.50 : 578,602.17 = 228,293.28 : x
  2. Step 2: Convert to fraction form
    419,269.50/578,602.17 = 228,293.28/x
  3. Step 3: Cross multiply
    419,269.50x = 578,602.17 × 228,293.28
  4. Step 4: Simplify right side
    419,269.50x = 132,090,987,204.42
  5. Step 5: Solve for x
    x = 132,090,987,204.42/419,269.50
  6. Step 6: Final answer
    x = 315,050.31

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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.