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Finding the Fourth Proportional to 512,957.43, 707,917.89 and 283,509.81

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Solution

The fourth proportional to 512,957.43, 707,917.89 and 283,509.81 is: 391,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,957.43 : 707,917.89 = 283,509.81 : x
  2. Step 2: Convert to fraction form
    512,957.43/707,917.89 = 283,509.81/x
  3. Step 3: Cross multiply
    512,957.43x = 707,917.89 × 283,509.81
  4. Step 4: Simplify right side
    512,957.43x = 200,701,666,489.50
  5. Step 5: Solve for x
    x = 200,701,666,489.50/512,957.43
  6. Step 6: Final answer
    x = 391,263.79

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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.