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Finding the Fourth Proportional to 525,486, 725,173.56 and 287,022

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Solution

The fourth proportional to 525,486, 725,173.56 and 287,022 is: 396,091.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,486 : 725,173.56 = 287,022 : x
  2. Step 2: Convert to fraction form
    525,486/725,173.56 = 287,022/x
  3. Step 3: Cross multiply
    525,486x = 725,173.56 × 287,022
  4. Step 4: Simplify right side
    525,486x = 208,140,765,538.32
  5. Step 5: Solve for x
    x = 208,140,765,538.32/525,486
  6. Step 6: Final answer
    x = 396,091.93

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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.