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Finding the Fourth Proportional to 415,811, 623,755.38 and 135,252.92

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Solution

The fourth proportional to 415,811, 623,755.38 and 135,252.92 is: 202,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811 : 623,755.38 = 135,252.92 : x
  2. Step 2: Convert to fraction form
    415,811/623,755.38 = 135,252.92/x
  3. Step 3: Cross multiply
    415,811x = 623,755.38 × 135,252.92
  4. Step 4: Simplify right side
    415,811x = 84,364,736,510.71
  5. Step 5: Solve for x
    x = 84,364,736,510.71/415,811
  6. Step 6: Final answer
    x = 202,892.03

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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.