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Finding the Fourth Proportional to 280,574.36, 421,029.23 and 103,099.31

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Solution

The fourth proportional to 280,574.36, 421,029.23 and 103,099.31 is: 154,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,574.36 : 421,029.23 = 103,099.31 : x
  2. Step 2: Convert to fraction form
    280,574.36/421,029.23 = 103,099.31/x
  3. Step 3: Cross multiply
    280,574.36x = 421,029.23 × 103,099.31
  4. Step 4: Simplify right side
    280,574.36x = 43,407,824,429.34
  5. Step 5: Solve for x
    x = 43,407,824,429.34/280,574.36
  6. Step 6: Final answer
    x = 154,710.59

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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.