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Finding the Fourth Proportional to 525,474, 725,155.20 and 287,010

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Solution

The fourth proportional to 525,474, 725,155.20 and 287,010 is: 396,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,474 : 725,155.20 = 287,010 : x
  2. Step 2: Convert to fraction form
    525,474/725,155.20 = 287,010/x
  3. Step 3: Cross multiply
    525,474x = 725,155.20 × 287,010
  4. Step 4: Simplify right side
    525,474x = 208,126,793,952
  5. Step 5: Solve for x
    x = 208,126,793,952/525,474
  6. Step 6: Final answer
    x = 396,074.39

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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.