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Finding the Fourth Proportional to 279,451.16, 417,889.12 and 207,539.86

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Solution

The fourth proportional to 279,451.16, 417,889.12 and 207,539.86 is: 310,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,451.16 : 417,889.12 = 207,539.86 : x
  2. Step 2: Convert to fraction form
    279,451.16/417,889.12 = 207,539.86/x
  3. Step 3: Cross multiply
    279,451.16x = 417,889.12 × 207,539.86
  4. Step 4: Simplify right side
    279,451.16x = 86,728,649,460.32
  5. Step 5: Solve for x
    x = 86,728,649,460.32/279,451.16
  6. Step 6: Final answer
    x = 310,353.51

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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.