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Finding the Fourth Proportional to 631,385.22, 947,313.12 and 378,846.96

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Solution

The fourth proportional to 631,385.22, 947,313.12 and 378,846.96 is: 568,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,385.22 : 947,313.12 = 378,846.96 : x
  2. Step 2: Convert to fraction form
    631,385.22/947,313.12 = 378,846.96/x
  3. Step 3: Cross multiply
    631,385.22x = 947,313.12 × 378,846.96
  4. Step 4: Simplify right side
    631,385.22x = 358,886,695,680.12
  5. Step 5: Solve for x
    x = 358,886,695,680.12/631,385.22
  6. Step 6: Final answer
    x = 568,411.62

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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.