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Finding the Fourth Proportional to 512,988.39, 707,922.50 and 286,634.07

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Solution

The fourth proportional to 512,988.39, 707,922.50 and 286,634.07 is: 395,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,988.39 : 707,922.50 = 286,634.07 : x
  2. Step 2: Convert to fraction form
    512,988.39/707,922.50 = 286,634.07/x
  3. Step 3: Cross multiply
    512,988.39x = 707,922.50 × 286,634.07
  4. Step 4: Simplify right side
    512,988.39x = 202,914,705,986.41
  5. Step 5: Solve for x
    x = 202,914,705,986.41/512,988.39
  6. Step 6: Final answer
    x = 395,554.19

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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.