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Finding the Fourth Proportional to 407,877.75, 611,660.43 and 134,259.75

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Solution

The fourth proportional to 407,877.75, 611,660.43 and 134,259.75 is: 201,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,877.75 : 611,660.43 = 134,259.75 : x
  2. Step 2: Convert to fraction form
    407,877.75/611,660.43 = 134,259.75/x
  3. Step 3: Cross multiply
    407,877.75x = 611,660.43 × 134,259.75
  4. Step 4: Simplify right side
    407,877.75x = 82,121,376,416.69
  5. Step 5: Solve for x
    x = 82,121,376,416.69/407,877.75
  6. Step 6: Final answer
    x = 201,338.21

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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.