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Finding the Fourth Proportional to 512,735.07, 707,588.97 and 286,395.15

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Solution

The fourth proportional to 512,735.07, 707,588.97 and 286,395.15 is: 395,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,735.07 : 707,588.97 = 286,395.15 : x
  2. Step 2: Convert to fraction form
    512,735.07/707,588.97 = 286,395.15/x
  3. Step 3: Cross multiply
    512,735.07x = 707,588.97 × 286,395.15
  4. Step 4: Simplify right side
    512,735.07x = 202,650,045,663.55
  5. Step 5: Solve for x
    x = 202,650,045,663.55/512,735.07
  6. Step 6: Final answer
    x = 395,233.44

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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.