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Finding the Fourth Proportional to 280,770.30, 420,958.19 and 98,356.48

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Solution

The fourth proportional to 280,770.30, 420,958.19 and 98,356.48 is: 147,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,770.30 : 420,958.19 = 98,356.48 : x
  2. Step 2: Convert to fraction form
    280,770.30/420,958.19 = 98,356.48/x
  3. Step 3: Cross multiply
    280,770.30x = 420,958.19 × 98,356.48
  4. Step 4: Simplify right side
    280,770.30x = 41,403,964,989.07
  5. Step 5: Solve for x
    x = 41,403,964,989.07/280,770.30
  6. Step 6: Final answer
    x = 147,465.62

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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.