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Finding the Fourth Proportional to 521,855.60, 782,536.65 and 202,157.21

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Solution

The fourth proportional to 521,855.60, 782,536.65 and 202,157.21 is: 303,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,855.60 : 782,536.65 = 202,157.21 : x
  2. Step 2: Convert to fraction form
    521,855.60/782,536.65 = 202,157.21/x
  3. Step 3: Cross multiply
    521,855.60x = 782,536.65 × 202,157.21
  4. Step 4: Simplify right side
    521,855.60x = 158,195,425,886.75
  5. Step 5: Solve for x
    x = 158,195,425,886.75/521,855.60
  6. Step 6: Final answer
    x = 303,140.23

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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.