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Finding the Fourth Proportional to 409,720.64, 565,213.51 and 273,787.96

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Solution

The fourth proportional to 409,720.64, 565,213.51 and 273,787.96 is: 377,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,720.64 : 565,213.51 = 273,787.96 : x
  2. Step 2: Convert to fraction form
    409,720.64/565,213.51 = 273,787.96/x
  3. Step 3: Cross multiply
    409,720.64x = 565,213.51 × 273,787.96
  4. Step 4: Simplify right side
    409,720.64x = 154,748,649,672.33
  5. Step 5: Solve for x
    x = 154,748,649,672.33/409,720.64
  6. Step 6: Final answer
    x = 377,693.08

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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.