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Finding the Fourth Proportional to 471,920.28, 651,474 and 302,254.44

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Solution

The fourth proportional to 471,920.28, 651,474 and 302,254.44 is: 417,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,920.28 : 651,474 = 302,254.44 : x
  2. Step 2: Convert to fraction form
    471,920.28/651,474 = 302,254.44/x
  3. Step 3: Cross multiply
    471,920.28x = 651,474 × 302,254.44
  4. Step 4: Simplify right side
    471,920.28x = 196,910,909,044.56
  5. Step 5: Solve for x
    x = 196,910,909,044.56/471,920.28
  6. Step 6: Final answer
    x = 417,254.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.