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Finding the Fourth Proportional to 509,672.77, 703,333.54 and 280,229.82

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Solution

The fourth proportional to 509,672.77, 703,333.54 and 280,229.82 is: 386,708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,672.77 : 703,333.54 = 280,229.82 : x
  2. Step 2: Convert to fraction form
    509,672.77/703,333.54 = 280,229.82/x
  3. Step 3: Cross multiply
    509,672.77x = 703,333.54 × 280,229.82
  4. Step 4: Simplify right side
    509,672.77x = 197,095,031,314.16
  5. Step 5: Solve for x
    x = 197,095,031,314.16/509,672.77
  6. Step 6: Final answer
    x = 386,708.97

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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.