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Finding the Fourth Proportional to 224,297.48, 309,578.56 and 128,856.80

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Solution

The fourth proportional to 224,297.48, 309,578.56 and 128,856.80 is: 177,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,297.48 : 309,578.56 = 128,856.80 : x
  2. Step 2: Convert to fraction form
    224,297.48/309,578.56 = 128,856.80/x
  3. Step 3: Cross multiply
    224,297.48x = 309,578.56 × 128,856.80
  4. Step 4: Simplify right side
    224,297.48x = 39,891,303,042.01
  5. Step 5: Solve for x
    x = 39,891,303,042.01/224,297.48
  6. Step 6: Final answer
    x = 177,849.98

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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.