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Finding the Fourth Proportional to 252,309.40, 378,537.14 and 74,820.67

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Solution

The fourth proportional to 252,309.40, 378,537.14 and 74,820.67 is: 112,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,309.40 : 378,537.14 = 74,820.67 : x
  2. Step 2: Convert to fraction form
    252,309.40/378,537.14 = 74,820.67/x
  3. Step 3: Cross multiply
    252,309.40x = 378,537.14 × 74,820.67
  4. Step 4: Simplify right side
    252,309.40x = 28,322,401,675.39
  5. Step 5: Solve for x
    x = 28,322,401,675.39/252,309.40
  6. Step 6: Final answer
    x = 112,252.66

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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.