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Finding the Fourth Proportional to 235,509.70, 353,978.26 and 155,819.47

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Solution

The fourth proportional to 235,509.70, 353,978.26 and 155,819.47 is: 234,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,509.70 : 353,978.26 = 155,819.47 : x
  2. Step 2: Convert to fraction form
    235,509.70/353,978.26 = 155,819.47/x
  3. Step 3: Cross multiply
    235,509.70x = 353,978.26 × 155,819.47
  4. Step 4: Simplify right side
    235,509.70x = 55,156,703,590.23
  5. Step 5: Solve for x
    x = 55,156,703,590.23/235,509.70
  6. Step 6: Final answer
    x = 234,201.41

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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.