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Finding the Fourth Proportional to 290,097.54, 435,318.84 and 156,975.12

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Solution

The fourth proportional to 290,097.54, 435,318.84 and 156,975.12 is: 235,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,097.54 : 435,318.84 = 156,975.12 : x
  2. Step 2: Convert to fraction form
    290,097.54/435,318.84 = 156,975.12/x
  3. Step 3: Cross multiply
    290,097.54x = 435,318.84 × 156,975.12
  4. Step 4: Simplify right side
    290,097.54x = 68,334,227,147.26
  5. Step 5: Solve for x
    x = 68,334,227,147.26/290,097.54
  6. Step 6: Final answer
    x = 235,556.04

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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.