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Finding the Fourth Proportional to 873,315, 1,309,972.26 and 242,228.88

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Solution

The fourth proportional to 873,315, 1,309,972.26 and 242,228.88 is: 363,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,315 : 1,309,972.26 = 242,228.88 : x
  2. Step 2: Convert to fraction form
    873,315/1,309,972.26 = 242,228.88/x
  3. Step 3: Cross multiply
    873,315x = 1,309,972.26 × 242,228.88
  4. Step 4: Simplify right side
    873,315x = 317,313,113,370.87
  5. Step 5: Solve for x
    x = 317,313,113,370.87/873,315
  6. Step 6: Final answer
    x = 363,343.25

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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.