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Finding the Fourth Proportional to 290,223.28, 435,171.56 and 100,594.80

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Solution

The fourth proportional to 290,223.28, 435,171.56 and 100,594.80 is: 150,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,223.28 : 435,171.56 = 100,594.80 : x
  2. Step 2: Convert to fraction form
    290,223.28/435,171.56 = 100,594.80/x
  3. Step 3: Cross multiply
    290,223.28x = 435,171.56 × 100,594.80
  4. Step 4: Simplify right side
    290,223.28x = 43,775,996,043.89
  5. Step 5: Solve for x
    x = 43,775,996,043.89/290,223.28
  6. Step 6: Final answer
    x = 150,835.58

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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.