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Finding the Fourth Proportional to 279,733.36, 419,636.68 and 102,323.92

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Solution

The fourth proportional to 279,733.36, 419,636.68 and 102,323.92 is: 153,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,733.36 : 419,636.68 = 102,323.92 : x
  2. Step 2: Convert to fraction form
    279,733.36/419,636.68 = 102,323.92/x
  3. Step 3: Cross multiply
    279,733.36x = 419,636.68 × 102,323.92
  4. Step 4: Simplify right side
    279,733.36x = 42,938,870,073.39
  5. Step 5: Solve for x
    x = 42,938,870,073.39/279,733.36
  6. Step 6: Final answer
    x = 153,499.28

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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.