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Finding the Fourth Proportional to 290,218.28, 435,164.06 and 100,589.80

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Solution

The fourth proportional to 290,218.28, 435,164.06 and 100,589.80 is: 150,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,218.28 : 435,164.06 = 100,589.80 : x
  2. Step 2: Convert to fraction form
    290,218.28/435,164.06 = 100,589.80/x
  3. Step 3: Cross multiply
    290,218.28x = 435,164.06 × 100,589.80
  4. Step 4: Simplify right side
    290,218.28x = 43,773,065,762.59
  5. Step 5: Solve for x
    x = 43,773,065,762.59/290,218.28
  6. Step 6: Final answer
    x = 150,828.08

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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.