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Finding the Fourth Proportional to 521,657.80, 782,292.30 and 363,416.20

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Solution

The fourth proportional to 521,657.80, 782,292.30 and 363,416.20 is: 544,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,657.80 : 782,292.30 = 363,416.20 : x
  2. Step 2: Convert to fraction form
    521,657.80/782,292.30 = 363,416.20/x
  3. Step 3: Cross multiply
    521,657.80x = 782,292.30 × 363,416.20
  4. Step 4: Simplify right side
    521,657.80x = 284,297,694,955.26
  5. Step 5: Solve for x
    x = 284,297,694,955.26/521,657.80
  6. Step 6: Final answer
    x = 544,988.87

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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.