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Finding the Fourth Proportional to 281,748.40, 422,648.64 and 101,878.72

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Solution

The fourth proportional to 281,748.40, 422,648.64 and 101,878.72 is: 152,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,748.40 : 422,648.64 = 101,878.72 : x
  2. Step 2: Convert to fraction form
    281,748.40/422,648.64 = 101,878.72/x
  3. Step 3: Cross multiply
    281,748.40x = 422,648.64 × 101,878.72
  4. Step 4: Simplify right side
    281,748.40x = 43,058,902,452.94
  5. Step 5: Solve for x
    x = 43,058,902,452.94/281,748.40
  6. Step 6: Final answer
    x = 152,827.50

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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.