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Finding the Fourth Proportional to 285,669.64, 428,135.40 and 135,955.82

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Solution

The fourth proportional to 285,669.64, 428,135.40 and 135,955.82 is: 203,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,669.64 : 428,135.40 = 135,955.82 : x
  2. Step 2: Convert to fraction form
    285,669.64/428,135.40 = 135,955.82/x
  3. Step 3: Cross multiply
    285,669.64x = 428,135.40 × 135,955.82
  4. Step 4: Simplify right side
    285,669.64x = 58,207,497,657.73
  5. Step 5: Solve for x
    x = 58,207,497,657.73/285,669.64
  6. Step 6: Final answer
    x = 203,758.08

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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.