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Finding the Fourth Proportional to 521,709.72, 782,860.71 and 222,159.06

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Solution

The fourth proportional to 521,709.72, 782,860.71 and 222,159.06 is: 333,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,709.72 : 782,860.71 = 222,159.06 : x
  2. Step 2: Convert to fraction form
    521,709.72/782,860.71 = 222,159.06/x
  3. Step 3: Cross multiply
    521,709.72x = 782,860.71 × 222,159.06
  4. Step 4: Simplify right side
    521,709.72x = 173,919,599,444.53
  5. Step 5: Solve for x
    x = 173,919,599,444.53/521,709.72
  6. Step 6: Final answer
    x = 333,364.69

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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.