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Finding the Fourth Proportional to 512,970.48, 707,910.84 and 286,615.44

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Solution

The fourth proportional to 512,970.48, 707,910.84 and 286,615.44 is: 395,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,970.48 : 707,910.84 = 286,615.44 : x
  2. Step 2: Convert to fraction form
    512,970.48/707,910.84 = 286,615.44/x
  3. Step 3: Cross multiply
    512,970.48x = 707,910.84 × 286,615.44
  4. Step 4: Simplify right side
    512,970.48x = 202,898,176,887.37
  5. Step 5: Solve for x
    x = 202,898,176,887.37/512,970.48
  6. Step 6: Final answer
    x = 395,535.78

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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.