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Finding the Fourth Proportional to 801,830, 1,202,816.04 and 210,854

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Solution

The fourth proportional to 801,830, 1,202,816.04 and 210,854 is: 316,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,830 : 1,202,816.04 = 210,854 : x
  2. Step 2: Convert to fraction form
    801,830/1,202,816.04 = 210,854/x
  3. Step 3: Cross multiply
    801,830x = 1,202,816.04 × 210,854
  4. Step 4: Simplify right side
    801,830x = 253,618,573,298.16
  5. Step 5: Solve for x
    x = 253,618,573,298.16/801,830
  6. Step 6: Final answer
    x = 316,299.68

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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.