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Finding the Fourth Proportional to 509,479.08, 763,540.47 and 269,541.77

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Solution

The fourth proportional to 509,479.08, 763,540.47 and 269,541.77 is: 403,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,479.08 : 763,540.47 = 269,541.77 : x
  2. Step 2: Convert to fraction form
    509,479.08/763,540.47 = 269,541.77/x
  3. Step 3: Cross multiply
    509,479.08x = 763,540.47 × 269,541.77
  4. Step 4: Simplify right side
    509,479.08x = 205,806,049,750.43
  5. Step 5: Solve for x
    x = 205,806,049,750.43/509,479.08
  6. Step 6: Final answer
    x = 403,953.88

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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.