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Finding the Fourth Proportional to 521,838.16, 782,764.44 and 147,860.80

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Solution

The fourth proportional to 521,838.16, 782,764.44 and 147,860.80 is: 221,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,838.16 : 782,764.44 = 147,860.80 : x
  2. Step 2: Convert to fraction form
    521,838.16/782,764.44 = 147,860.80/x
  3. Step 3: Cross multiply
    521,838.16x = 782,764.44 × 147,860.80
  4. Step 4: Simplify right side
    521,838.16x = 115,740,176,309.95
  5. Step 5: Solve for x
    x = 115,740,176,309.95/521,838.16
  6. Step 6: Final answer
    x = 221,793.24

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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.