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Finding the Fourth Proportional to 280,376.46, 420,564.63 and 154,815.06

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Solution

The fourth proportional to 280,376.46, 420,564.63 and 154,815.06 is: 232,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,376.46 : 420,564.63 = 154,815.06 : x
  2. Step 2: Convert to fraction form
    280,376.46/420,564.63 = 154,815.06/x
  3. Step 3: Cross multiply
    280,376.46x = 420,564.63 × 154,815.06
  4. Step 4: Simplify right side
    280,376.46x = 65,109,738,427.33
  5. Step 5: Solve for x
    x = 65,109,738,427.33/280,376.46
  6. Step 6: Final answer
    x = 232,222.56

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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.