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Finding the Fourth Proportional to 513,214.77, 708,223.76 and 283,765.97

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Solution

The fourth proportional to 513,214.77, 708,223.76 and 283,765.97 is: 391,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,214.77 : 708,223.76 = 283,765.97 : x
  2. Step 2: Convert to fraction form
    513,214.77/708,223.76 = 283,765.97/x
  3. Step 3: Cross multiply
    513,214.77x = 708,223.76 × 283,765.97
  4. Step 4: Simplify right side
    513,214.77x = 200,969,802,233.45
  5. Step 5: Solve for x
    x = 200,969,802,233.45/513,214.77
  6. Step 6: Final answer
    x = 391,590.06

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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.