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Finding the Fourth Proportional to 230,812.80, 345,830.40 and 191,155.20

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Solution

The fourth proportional to 230,812.80, 345,830.40 and 191,155.20 is: 286,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,812.80 : 345,830.40 = 191,155.20 : x
  2. Step 2: Convert to fraction form
    230,812.80/345,830.40 = 191,155.20/x
  3. Step 3: Cross multiply
    230,812.80x = 345,830.40 × 191,155.20
  4. Step 4: Simplify right side
    230,812.80x = 66,107,279,278.08
  5. Step 5: Solve for x
    x = 66,107,279,278.08/230,812.80
  6. Step 6: Final answer
    x = 286,410.80

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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.