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Finding the Fourth Proportional to 280,573.81, 421,028.38 and 103,098.76

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Solution

The fourth proportional to 280,573.81, 421,028.38 and 103,098.76 is: 154,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,573.81 : 421,028.38 = 103,098.76 : x
  2. Step 2: Convert to fraction form
    280,573.81/421,028.38 = 103,098.76/x
  3. Step 3: Cross multiply
    280,573.81x = 421,028.38 × 103,098.76
  4. Step 4: Simplify right side
    280,573.81x = 43,407,502,979.11
  5. Step 5: Solve for x
    x = 43,407,502,979.11/280,573.81
  6. Step 6: Final answer
    x = 154,709.75

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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.