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Finding the Fourth Proportional to 513,449.23, 708,564.57 and 283,994.47

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Solution

The fourth proportional to 513,449.23, 708,564.57 and 283,994.47 is: 391,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,449.23 : 708,564.57 = 283,994.47 : x
  2. Step 2: Convert to fraction form
    513,449.23/708,564.57 = 283,994.47/x
  3. Step 3: Cross multiply
    513,449.23x = 708,564.57 × 283,994.47
  4. Step 4: Simplify right side
    513,449.23x = 201,228,419,517.93
  5. Step 5: Solve for x
    x = 201,228,419,517.93/513,449.23
  6. Step 6: Final answer
    x = 391,914.93

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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.