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Finding the Fourth Proportional to 469,400.16, 647,782.56 and 278,343.84

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Solution

The fourth proportional to 469,400.16, 647,782.56 and 278,343.84 is: 384,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,400.16 : 647,782.56 = 278,343.84 : x
  2. Step 2: Convert to fraction form
    469,400.16/647,782.56 = 278,343.84/x
  3. Step 3: Cross multiply
    469,400.16x = 647,782.56 × 278,343.84
  4. Step 4: Simplify right side
    469,400.16x = 180,306,285,235.43
  5. Step 5: Solve for x
    x = 180,306,285,235.43/469,400.16
  6. Step 6: Final answer
    x = 384,120.63

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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.