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Finding the Fourth Proportional to 281,346, 422,122.68 and 148,220.88

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Solution

The fourth proportional to 281,346, 422,122.68 and 148,220.88 is: 222,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,346 : 422,122.68 = 148,220.88 : x
  2. Step 2: Convert to fraction form
    281,346/422,122.68 = 148,220.88/x
  3. Step 3: Cross multiply
    281,346x = 422,122.68 × 148,220.88
  4. Step 4: Simplify right side
    281,346x = 62,567,395,097.56
  5. Step 5: Solve for x
    x = 62,567,395,097.56/281,346
  6. Step 6: Final answer
    x = 222,385.94

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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.