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Finding the Fourth Proportional to 908,200, 1,253,354.88 and 505,792

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Solution

The fourth proportional to 908,200, 1,253,354.88 and 505,792 is: 698,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,200 : 1,253,354.88 = 505,792 : x
  2. Step 2: Convert to fraction form
    908,200/1,253,354.88 = 505,792/x
  3. Step 3: Cross multiply
    908,200x = 1,253,354.88 × 505,792
  4. Step 4: Simplify right side
    908,200x = 633,936,871,464.96
  5. Step 5: Solve for x
    x = 633,936,871,464.96/908,200
  6. Step 6: Final answer
    x = 698,014.61

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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.