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Finding the Fourth Proportional to 409,570.25, 565,209.56 and 228,293.66

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Solution

The fourth proportional to 409,570.25, 565,209.56 and 228,293.66 is: 315,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,570.25 : 565,209.56 = 228,293.66 : x
  2. Step 2: Convert to fraction form
    409,570.25/565,209.56 = 228,293.66/x
  3. Step 3: Cross multiply
    409,570.25x = 565,209.56 × 228,293.66
  4. Step 4: Simplify right side
    409,570.25x = 129,033,761,103.15
  5. Step 5: Solve for x
    x = 129,033,761,103.15/409,570.25
  6. Step 6: Final answer
    x = 315,046.72

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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.