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Finding the Fourth Proportional to 224,266.32, 309,473.46 and 128,705.76

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Solution

The fourth proportional to 224,266.32, 309,473.46 and 128,705.76 is: 177,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,266.32 : 309,473.46 = 128,705.76 : x
  2. Step 2: Convert to fraction form
    224,266.32/309,473.46 = 128,705.76/x
  3. Step 3: Cross multiply
    224,266.32x = 309,473.46 × 128,705.76
  4. Step 4: Simplify right side
    224,266.32x = 39,831,016,869.13
  5. Step 5: Solve for x
    x = 39,831,016,869.13/224,266.32
  6. Step 6: Final answer
    x = 177,605.88

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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.