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Finding the Fourth Proportional to 280,876.38, 421,117.74 and 103,360.38

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Solution

The fourth proportional to 280,876.38, 421,117.74 and 103,360.38 is: 154,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,876.38 : 421,117.74 = 103,360.38 : x
  2. Step 2: Convert to fraction form
    280,876.38/421,117.74 = 103,360.38/x
  3. Step 3: Cross multiply
    280,876.38x = 421,117.74 × 103,360.38
  4. Step 4: Simplify right side
    280,876.38x = 43,526,889,631.14
  5. Step 5: Solve for x
    x = 43,526,889,631.14/280,876.38
  6. Step 6: Final answer
    x = 154,968.14

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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.