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Finding the Fourth Proportional to 409,557.87, 565,192.48 and 228,281.31

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Solution

The fourth proportional to 409,557.87, 565,192.48 and 228,281.31 is: 315,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,557.87 : 565,192.48 = 228,281.31 : x
  2. Step 2: Convert to fraction form
    409,557.87/565,192.48 = 228,281.31/x
  3. Step 3: Cross multiply
    409,557.87x = 565,192.48 × 228,281.31
  4. Step 4: Simplify right side
    409,557.87x = 129,022,876,910.59
  5. Step 5: Solve for x
    x = 129,022,876,910.59/409,557.87
  6. Step 6: Final answer
    x = 315,029.66

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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.