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Finding the Fourth Proportional to 230,970.88, 345,780.48 and 208,835.20

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Solution

The fourth proportional to 230,970.88, 345,780.48 and 208,835.20 is: 312,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,970.88 : 345,780.48 = 208,835.20 : x
  2. Step 2: Convert to fraction form
    230,970.88/345,780.48 = 208,835.20/x
  3. Step 3: Cross multiply
    230,970.88x = 345,780.48 × 208,835.20
  4. Step 4: Simplify right side
    230,970.88x = 72,211,135,696.90
  5. Step 5: Solve for x
    x = 72,211,135,696.90/230,970.88
  6. Step 6: Final answer
    x = 312,641.73

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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.