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Finding the Fourth Proportional to 509,434.05, 703,026.26 and 280,012.55

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Solution

The fourth proportional to 509,434.05, 703,026.26 and 280,012.55 is: 386,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,434.05 : 703,026.26 = 280,012.55 : x
  2. Step 2: Convert to fraction form
    509,434.05/703,026.26 = 280,012.55/x
  3. Step 3: Cross multiply
    509,434.05x = 703,026.26 × 280,012.55
  4. Step 4: Simplify right side
    509,434.05x = 196,856,172,964.46
  5. Step 5: Solve for x
    x = 196,856,172,964.46/509,434.05
  6. Step 6: Final answer
    x = 386,421.31

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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.