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Finding the Fourth Proportional to 521,378.80, 782,103.84 and 166,419.70

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Solution

The fourth proportional to 521,378.80, 782,103.84 and 166,419.70 is: 249,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,378.80 : 782,103.84 = 166,419.70 : x
  2. Step 2: Convert to fraction form
    521,378.80/782,103.84 = 166,419.70/x
  3. Step 3: Cross multiply
    521,378.80x = 782,103.84 × 166,419.70
  4. Step 4: Simplify right side
    521,378.80x = 130,157,486,421.65
  5. Step 5: Solve for x
    x = 130,157,486,421.65/521,378.80
  6. Step 6: Final answer
    x = 249,640.93

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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.