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Finding the Fourth Proportional to 409,853.44, 615,056.46 and 143,616.34

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Solution

The fourth proportional to 409,853.44, 615,056.46 and 143,616.34 is: 215,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,853.44 : 615,056.46 = 143,616.34 : x
  2. Step 2: Convert to fraction form
    409,853.44/615,056.46 = 143,616.34/x
  3. Step 3: Cross multiply
    409,853.44x = 615,056.46 × 143,616.34
  4. Step 4: Simplify right side
    409,853.44x = 88,332,157,678.56
  5. Step 5: Solve for x
    x = 88,332,157,678.56/409,853.44
  6. Step 6: Final answer
    x = 215,521.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.