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Finding the Fourth Proportional to 469,450.32, 647,823.96 and 278,349.36

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Solution

The fourth proportional to 469,450.32, 647,823.96 and 278,349.36 is: 384,111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,450.32 : 647,823.96 = 278,349.36 : x
  2. Step 2: Convert to fraction form
    469,450.32/647,823.96 = 278,349.36/x
  3. Step 3: Cross multiply
    469,450.32x = 647,823.96 × 278,349.36
  4. Step 4: Simplify right side
    469,450.32x = 180,321,384,658.67
  5. Step 5: Solve for x
    x = 180,321,384,658.67/469,450.32
  6. Step 6: Final answer
    x = 384,111.75

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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.