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Finding the Fourth Proportional to 343,712.76, 515,446.10 and 119,012.85

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Solution

The fourth proportional to 343,712.76, 515,446.10 and 119,012.85 is: 178,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,712.76 : 515,446.10 = 119,012.85 : x
  2. Step 2: Convert to fraction form
    343,712.76/515,446.10 = 119,012.85/x
  3. Step 3: Cross multiply
    343,712.76x = 515,446.10 × 119,012.85
  4. Step 4: Simplify right side
    343,712.76x = 61,344,709,679.92
  5. Step 5: Solve for x
    x = 61,344,709,679.92/343,712.76
  6. Step 6: Final answer
    x = 178,476.67

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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.