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Finding the Fourth Proportional to 280,333.87, 420,686.54 and 154,062.30

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Solution

The fourth proportional to 280,333.87, 420,686.54 and 154,062.30 is: 231,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,333.87 : 420,686.54 = 154,062.30 : x
  2. Step 2: Convert to fraction form
    280,333.87/420,686.54 = 154,062.30/x
  3. Step 3: Cross multiply
    280,333.87x = 420,686.54 × 154,062.30
  4. Step 4: Simplify right side
    280,333.87x = 64,811,936,883.14
  5. Step 5: Solve for x
    x = 64,811,936,883.14/280,333.87
  6. Step 6: Final answer
    x = 231,195.52

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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.