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Finding the Fourth Proportional to 471,080.64, 649,876.86 and 279,985.44

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Solution

The fourth proportional to 471,080.64, 649,876.86 and 279,985.44 is: 386,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,080.64 : 649,876.86 = 279,985.44 : x
  2. Step 2: Convert to fraction form
    471,080.64/649,876.86 = 279,985.44/x
  3. Step 3: Cross multiply
    471,080.64x = 649,876.86 × 279,985.44
  4. Step 4: Simplify right side
    471,080.64x = 181,956,058,592.92
  5. Step 5: Solve for x
    x = 181,956,058,592.92/471,080.64
  6. Step 6: Final answer
    x = 386,252.47

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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.