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Finding the Fourth Proportional to 293,469.68, 440,221.84 and 83,090

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Solution

The fourth proportional to 293,469.68, 440,221.84 and 83,090 is: 124,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,469.68 : 440,221.84 = 83,090 : x
  2. Step 2: Convert to fraction form
    293,469.68/440,221.84 = 83,090/x
  3. Step 3: Cross multiply
    293,469.68x = 440,221.84 × 83,090
  4. Step 4: Simplify right side
    293,469.68x = 36,578,032,685.60
  5. Step 5: Solve for x
    x = 36,578,032,685.60/293,469.68
  6. Step 6: Final answer
    x = 124,639.90

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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.