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Finding the Fourth Proportional to 521,907.12, 782,614.08 and 202,208.76

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Solution

The fourth proportional to 521,907.12, 782,614.08 and 202,208.76 is: 303,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,907.12 : 782,614.08 = 202,208.76 : x
  2. Step 2: Convert to fraction form
    521,907.12/782,614.08 = 202,208.76/x
  3. Step 3: Cross multiply
    521,907.12x = 782,614.08 × 202,208.76
  4. Step 4: Simplify right side
    521,907.12x = 158,251,422,675.34
  5. Step 5: Solve for x
    x = 158,251,422,675.34/521,907.12
  6. Step 6: Final answer
    x = 303,217.60

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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.