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Finding the Fourth Proportional to 651,932.20, 978,308.70 and 277,949.80

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Solution

The fourth proportional to 651,932.20, 978,308.70 and 277,949.80 is: 417,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,932.20 : 978,308.70 = 277,949.80 : x
  2. Step 2: Convert to fraction form
    651,932.20/978,308.70 = 277,949.80/x
  3. Step 3: Cross multiply
    651,932.20x = 978,308.70 × 277,949.80
  4. Step 4: Simplify right side
    651,932.20x = 271,920,707,503.26
  5. Step 5: Solve for x
    x = 271,920,707,503.26/651,932.20
  6. Step 6: Final answer
    x = 417,099.67

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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.