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Finding the Fourth Proportional to 521,669.12, 782,209.92 and 166,599.68

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Solution

The fourth proportional to 521,669.12, 782,209.92 and 166,599.68 is: 249,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,669.12 : 782,209.92 = 166,599.68 : x
  2. Step 2: Convert to fraction form
    521,669.12/782,209.92 = 166,599.68/x
  3. Step 3: Cross multiply
    521,669.12x = 782,209.92 × 166,599.68
  4. Step 4: Simplify right side
    521,669.12x = 130,315,922,364.83
  5. Step 5: Solve for x
    x = 130,315,922,364.83/521,669.12
  6. Step 6: Final answer
    x = 249,805.71

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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.