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Finding the Fourth Proportional to 525,382.12, 788,391.78 and 209,812.60

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Solution

The fourth proportional to 525,382.12, 788,391.78 and 209,812.60 is: 314,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,382.12 : 788,391.78 = 209,812.60 : x
  2. Step 2: Convert to fraction form
    525,382.12/788,391.78 = 209,812.60/x
  3. Step 3: Cross multiply
    525,382.12x = 788,391.78 × 209,812.60
  4. Step 4: Simplify right side
    525,382.12x = 165,414,529,180.43
  5. Step 5: Solve for x
    x = 165,414,529,180.43/525,382.12
  6. Step 6: Final answer
    x = 314,846.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.