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Finding the Fourth Proportional to 281,909.80, 422,864.70 and 277,762.60

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Solution

The fourth proportional to 281,909.80, 422,864.70 and 277,762.60 is: 416,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,909.80 : 422,864.70 = 277,762.60 : x
  2. Step 2: Convert to fraction form
    281,909.80/422,864.70 = 277,762.60/x
  3. Step 3: Cross multiply
    281,909.80x = 422,864.70 × 277,762.60
  4. Step 4: Simplify right side
    281,909.80x = 117,455,998,520.22
  5. Step 5: Solve for x
    x = 117,455,998,520.22/281,909.80
  6. Step 6: Final answer
    x = 416,643.90

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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.