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Finding the Fourth Proportional to 409,663.50, 565,329.96 and 228,390.36

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Solution

The fourth proportional to 409,663.50, 565,329.96 and 228,390.36 is: 315,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,663.50 : 565,329.96 = 228,390.36 : x
  2. Step 2: Convert to fraction form
    409,663.50/565,329.96 = 228,390.36/x
  3. Step 3: Cross multiply
    409,663.50x = 565,329.96 × 228,390.36
  4. Step 4: Simplify right side
    409,663.50x = 129,115,913,083.19
  5. Step 5: Solve for x
    x = 129,115,913,083.19/409,663.50
  6. Step 6: Final answer
    x = 315,175.54

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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.