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Finding the Fourth Proportional to 509,335.09, 702,847.86 and 279,908.41

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Solution

The fourth proportional to 509,335.09, 702,847.86 and 279,908.41 is: 386,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,335.09 : 702,847.86 = 279,908.41 : x
  2. Step 2: Convert to fraction form
    509,335.09/702,847.86 = 279,908.41/x
  3. Step 3: Cross multiply
    509,335.09x = 702,847.86 × 279,908.41
  4. Step 4: Simplify right side
    509,335.09x = 196,733,026,964.50
  5. Step 5: Solve for x
    x = 196,733,026,964.50/509,335.09
  6. Step 6: Final answer
    x = 386,254.61

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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.