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Finding the Fourth Proportional to 854,496, 1,281,761.28 and 263,520

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Solution

The fourth proportional to 854,496, 1,281,761.28 and 263,520 is: 395,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,496 : 1,281,761.28 = 263,520 : x
  2. Step 2: Convert to fraction form
    854,496/1,281,761.28 = 263,520/x
  3. Step 3: Cross multiply
    854,496x = 1,281,761.28 × 263,520
  4. Step 4: Simplify right side
    854,496x = 337,769,732,505.60
  5. Step 5: Solve for x
    x = 337,769,732,505.60/854,496
  6. Step 6: Final answer
    x = 395,285.33

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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.