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Finding the Fourth Proportional to 224,262.56, 309,492.24 and 128,773.28

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Solution

The fourth proportional to 224,262.56, 309,492.24 and 128,773.28 is: 177,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,262.56 : 309,492.24 = 128,773.28 : x
  2. Step 2: Convert to fraction form
    224,262.56/309,492.24 = 128,773.28/x
  3. Step 3: Cross multiply
    224,262.56x = 309,492.24 × 128,773.28
  4. Step 4: Simplify right side
    224,262.56x = 39,854,330,879.35
  5. Step 5: Solve for x
    x = 39,854,330,879.35/224,262.56
  6. Step 6: Final answer
    x = 177,712.82

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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.