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Finding the Fourth Proportional to 509,079.80, 702,489.16 and 294,233.78

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Solution

The fourth proportional to 509,079.80, 702,489.16 and 294,233.78 is: 406,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,079.80 : 702,489.16 = 294,233.78 : x
  2. Step 2: Convert to fraction form
    509,079.80/702,489.16 = 294,233.78/x
  3. Step 3: Cross multiply
    509,079.80x = 702,489.16 × 294,233.78
  4. Step 4: Simplify right side
    509,079.80x = 206,696,043,222.37
  5. Step 5: Solve for x
    x = 206,696,043,222.37/509,079.80
  6. Step 6: Final answer
    x = 406,018.94

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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.