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Finding the Fourth Proportional to 290,171.59, 399,778.10 and 224,534.75

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Solution

The fourth proportional to 290,171.59, 399,778.10 and 224,534.75 is: 309,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,171.59 : 399,778.10 = 224,534.75 : x
  2. Step 2: Convert to fraction form
    290,171.59/399,778.10 = 224,534.75/x
  3. Step 3: Cross multiply
    290,171.59x = 399,778.10 × 224,534.75
  4. Step 4: Simplify right side
    290,171.59x = 89,764,075,738.98
  5. Step 5: Solve for x
    x = 89,764,075,738.98/290,171.59
  6. Step 6: Final answer
    x = 309,348.26

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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.