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Finding the Fourth Proportional to 280,278.76, 420,214.48 and 111,748.54

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Solution

The fourth proportional to 280,278.76, 420,214.48 and 111,748.54 is: 167,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,278.76 : 420,214.48 = 111,748.54 : x
  2. Step 2: Convert to fraction form
    280,278.76/420,214.48 = 111,748.54/x
  3. Step 3: Cross multiply
    280,278.76x = 420,214.48 × 111,748.54
  4. Step 4: Simplify right side
    280,278.76x = 46,958,354,068.12
  5. Step 5: Solve for x
    x = 46,958,354,068.12/280,278.76
  6. Step 6: Final answer
    x = 167,541.61

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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.