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Finding the Fourth Proportional to 281,740.64, 422,623.92 and 115,412

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Solution

The fourth proportional to 281,740.64, 422,623.92 and 115,412 is: 173,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,740.64 : 422,623.92 = 115,412 : x
  2. Step 2: Convert to fraction form
    281,740.64/422,623.92 = 115,412/x
  3. Step 3: Cross multiply
    281,740.64x = 422,623.92 × 115,412
  4. Step 4: Simplify right side
    281,740.64x = 48,775,871,855.04
  5. Step 5: Solve for x
    x = 48,775,871,855.04/281,740.64
  6. Step 6: Final answer
    x = 173,123.31

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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.