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Finding the Fourth Proportional to 345,902.70, 477,273.15 and 210,008.19

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Solution

The fourth proportional to 345,902.70, 477,273.15 and 210,008.19 is: 289,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,902.70 : 477,273.15 = 210,008.19 : x
  2. Step 2: Convert to fraction form
    345,902.70/477,273.15 = 210,008.19/x
  3. Step 3: Cross multiply
    345,902.70x = 477,273.15 × 210,008.19
  4. Step 4: Simplify right side
    345,902.70x = 100,231,270,367.10
  5. Step 5: Solve for x
    x = 100,231,270,367.10/345,902.70
  6. Step 6: Final answer
    x = 289,767.24

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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.