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Finding the Fourth Proportional to 415,088.88, 622,885.32 and 165,750

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Solution

The fourth proportional to 415,088.88, 622,885.32 and 165,750 is: 248,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,088.88 : 622,885.32 = 165,750 : x
  2. Step 2: Convert to fraction form
    415,088.88/622,885.32 = 165,750/x
  3. Step 3: Cross multiply
    415,088.88x = 622,885.32 × 165,750
  4. Step 4: Simplify right side
    415,088.88x = 103,243,241,790.00
  5. Step 5: Solve for x
    x = 103,243,241,790.00/415,088.88
  6. Step 6: Final answer
    x = 248,725.63

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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.