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Finding the Fourth Proportional to 343,915.20, 515,095.20 and 203,947.20

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Solution

The fourth proportional to 343,915.20, 515,095.20 and 203,947.20 is: 305,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,915.20 : 515,095.20 = 203,947.20 : x
  2. Step 2: Convert to fraction form
    343,915.20/515,095.20 = 203,947.20/x
  3. Step 3: Cross multiply
    343,915.20x = 515,095.20 × 203,947.20
  4. Step 4: Simplify right side
    343,915.20x = 105,052,223,773.44
  5. Step 5: Solve for x
    x = 105,052,223,773.44/343,915.20
  6. Step 6: Final answer
    x = 305,459.67

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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.