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Finding the Fourth Proportional to 355,722.26, 491,062.16 and 210,482.38

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Solution

The fourth proportional to 355,722.26, 491,062.16 and 210,482.38 is: 290,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,722.26 : 491,062.16 = 210,482.38 : x
  2. Step 2: Convert to fraction form
    355,722.26/491,062.16 = 210,482.38/x
  3. Step 3: Cross multiply
    355,722.26x = 491,062.16 × 210,482.38
  4. Step 4: Simplify right side
    355,722.26x = 103,359,929,884.67
  5. Step 5: Solve for x
    x = 103,359,929,884.67/355,722.26
  6. Step 6: Final answer
    x = 290,563.57

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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.