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Finding the Fourth Proportional to 908,197, 1,253,350.76 and 505,789

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Solution

The fourth proportional to 908,197, 1,253,350.76 and 505,789 is: 698,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,197 : 1,253,350.76 = 505,789 : x
  2. Step 2: Convert to fraction form
    908,197/1,253,350.76 = 505,789/x
  3. Step 3: Cross multiply
    908,197x = 1,253,350.76 × 505,789
  4. Step 4: Simplify right side
    908,197x = 633,931,027,549.64
  5. Step 5: Solve for x
    x = 633,931,027,549.64/908,197
  6. Step 6: Final answer
    x = 698,010.48

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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.