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Finding the Fourth Proportional to 281,700, 422,713.08 and 104,331.60

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Solution

The fourth proportional to 281,700, 422,713.08 and 104,331.60 is: 156,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,700 : 422,713.08 = 104,331.60 : x
  2. Step 2: Convert to fraction form
    281,700/422,713.08 = 104,331.60/x
  3. Step 3: Cross multiply
    281,700x = 422,713.08 × 104,331.60
  4. Step 4: Simplify right side
    281,700x = 44,102,331,977.33
  5. Step 5: Solve for x
    x = 44,102,331,977.33/281,700
  6. Step 6: Final answer
    x = 156,557.80

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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.