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Finding the Fourth Proportional to 521,836.16, 782,761.44 and 147,858.80

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Solution

The fourth proportional to 521,836.16, 782,761.44 and 147,858.80 is: 221,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,836.16 : 782,761.44 = 147,858.80 : x
  2. Step 2: Convert to fraction form
    521,836.16/782,761.44 = 147,858.80/x
  3. Step 3: Cross multiply
    521,836.16x = 782,761.44 × 147,858.80
  4. Step 4: Simplify right side
    521,836.16x = 115,738,167,204.67
  5. Step 5: Solve for x
    x = 115,738,167,204.67/521,836.16
  6. Step 6: Final answer
    x = 221,790.24

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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.