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Finding the Fourth Proportional to 521,503.87, 782,249.20 and 166,513.39

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Solution

The fourth proportional to 521,503.87, 782,249.20 and 166,513.39 is: 249,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,503.87 : 782,249.20 = 166,513.39 : x
  2. Step 2: Convert to fraction form
    521,503.87/782,249.20 = 166,513.39/x
  3. Step 3: Cross multiply
    521,503.87x = 782,249.20 × 166,513.39
  4. Step 4: Simplify right side
    521,503.87x = 130,254,966,116.79
  5. Step 5: Solve for x
    x = 130,254,966,116.79/521,503.87
  6. Step 6: Final answer
    x = 249,767.98

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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.