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Finding the Fourth Proportional to 509,858.88, 703,609.76 and 283,513.92

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Solution

The fourth proportional to 509,858.88, 703,609.76 and 283,513.92 is: 391,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,858.88 : 703,609.76 = 283,513.92 : x
  2. Step 2: Convert to fraction form
    509,858.88/703,609.76 = 283,513.92/x
  3. Step 3: Cross multiply
    509,858.88x = 703,609.76 × 283,513.92
  4. Step 4: Simplify right side
    509,858.88x = 199,483,161,207.86
  5. Step 5: Solve for x
    x = 199,483,161,207.86/509,858.88
  6. Step 6: Final answer
    x = 391,251.71

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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.