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Finding the Fourth Proportional to 521,707.80, 782,853.30 and 222,137.40

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Solution

The fourth proportional to 521,707.80, 782,853.30 and 222,137.40 is: 333,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,707.80 : 782,853.30 = 222,137.40 : x
  2. Step 2: Convert to fraction form
    521,707.80/782,853.30 = 222,137.40/x
  3. Step 3: Cross multiply
    521,707.80x = 782,853.30 × 222,137.40
  4. Step 4: Simplify right side
    521,707.80x = 173,900,996,643.42
  5. Step 5: Solve for x
    x = 173,900,996,643.42/521,707.80
  6. Step 6: Final answer
    x = 333,330.26

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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.