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Finding the Fourth Proportional to 908,208, 1,253,365.92 and 505,800

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Solution

The fourth proportional to 908,208, 1,253,365.92 and 505,800 is: 698,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,208 : 1,253,365.92 = 505,800 : x
  2. Step 2: Convert to fraction form
    908,208/1,253,365.92 = 505,800/x
  3. Step 3: Cross multiply
    908,208x = 1,253,365.92 × 505,800
  4. Step 4: Simplify right side
    908,208x = 633,952,482,336
  5. Step 5: Solve for x
    x = 633,952,482,336/908,208
  6. Step 6: Final answer
    x = 698,025.65

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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.