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Finding the Fourth Proportional to 289,083.20, 433,279.20 and 148,769.60

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Solution

The fourth proportional to 289,083.20, 433,279.20 and 148,769.60 is: 222,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,083.20 : 433,279.20 = 148,769.60 : x
  2. Step 2: Convert to fraction form
    289,083.20/433,279.20 = 148,769.60/x
  3. Step 3: Cross multiply
    289,083.20x = 433,279.20 × 148,769.60
  4. Step 4: Simplify right side
    289,083.20x = 64,458,773,272.32
  5. Step 5: Solve for x
    x = 64,458,773,272.32/289,083.20
  6. Step 6: Final answer
    x = 222,976.55

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1.5x scale

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.