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Finding the Fourth Proportional to 409,572.25, 565,212.32 and 228,295.66

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Solution

The fourth proportional to 409,572.25, 565,212.32 and 228,295.66 is: 315,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,572.25 : 565,212.32 = 228,295.66 : x
  2. Step 2: Convert to fraction form
    409,572.25/565,212.32 = 228,295.66/x
  3. Step 3: Cross multiply
    409,572.25x = 565,212.32 × 228,295.66
  4. Step 4: Simplify right side
    409,572.25x = 129,035,519,634.53
  5. Step 5: Solve for x
    x = 129,035,519,634.53/409,572.25
  6. Step 6: Final answer
    x = 315,049.47

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1.5x scale

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.