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Finding the Fourth Proportional to 647,832.76, 970,835.58 and 305,911.32

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Solution

The fourth proportional to 647,832.76, 970,835.58 and 305,911.32 is: 458,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,832.76 : 970,835.58 = 305,911.32 : x
  2. Step 2: Convert to fraction form
    647,832.76/970,835.58 = 305,911.32/x
  3. Step 3: Cross multiply
    647,832.76x = 970,835.58 × 305,911.32
  4. Step 4: Simplify right side
    647,832.76x = 296,989,593,780.77
  5. Step 5: Solve for x
    x = 296,989,593,780.77/647,832.76
  6. Step 6: Final answer
    x = 458,435.59

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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.