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Finding the Fourth Proportional to 873,309, 1,309,963.26 and 242,222.88

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Solution

The fourth proportional to 873,309, 1,309,963.26 and 242,222.88 is: 363,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,309 : 1,309,963.26 = 242,222.88 : x
  2. Step 2: Convert to fraction form
    873,309/1,309,963.26 = 242,222.88/x
  3. Step 3: Cross multiply
    873,309x = 1,309,963.26 × 242,222.88
  4. Step 4: Simplify right side
    873,309x = 317,303,073,531.39
  5. Step 5: Solve for x
    x = 317,303,073,531.39/873,309
  6. Step 6: Final answer
    x = 363,334.25

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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.