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Finding the Fourth Proportional to 509,606.67, 703,239.29 and 280,162.29

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Solution

The fourth proportional to 509,606.67, 703,239.29 and 280,162.29 is: 386,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,606.67 : 703,239.29 = 280,162.29 : x
  2. Step 2: Convert to fraction form
    509,606.67/703,239.29 = 280,162.29/x
  3. Step 3: Cross multiply
    509,606.67x = 703,239.29 × 280,162.29
  4. Step 4: Simplify right side
    509,606.67x = 197,021,128,503.56
  5. Step 5: Solve for x
    x = 197,021,128,503.56/509,606.67
  6. Step 6: Final answer
    x = 386,614.11

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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.