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Finding the Fourth Proportional to 525,687, 725,448.12 and 287,223

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Solution

The fourth proportional to 525,687, 725,448.12 and 287,223 is: 396,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,687 : 725,448.12 = 287,223 : x
  2. Step 2: Convert to fraction form
    525,687/725,448.12 = 287,223/x
  3. Step 3: Cross multiply
    525,687x = 725,448.12 × 287,223
  4. Step 4: Simplify right side
    525,687x = 208,365,385,370.76
  5. Step 5: Solve for x
    x = 208,365,385,370.76/525,687
  6. Step 6: Final answer
    x = 396,367.77

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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.