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Finding the Fourth Proportional to 509,479.64, 763,541.31 and 269,542.34

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Solution

The fourth proportional to 509,479.64, 763,541.31 and 269,542.34 is: 403,954.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,479.64 : 763,541.31 = 269,542.34 : x
  2. Step 2: Convert to fraction form
    509,479.64/763,541.31 = 269,542.34/x
  3. Step 3: Cross multiply
    509,479.64x = 763,541.31 × 269,542.34
  4. Step 4: Simplify right side
    509,479.64x = 205,806,711,384.07
  5. Step 5: Solve for x
    x = 205,806,711,384.07/509,479.64
  6. Step 6: Final answer
    x = 403,954.73

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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.