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Finding the Fourth Proportional to 280,710.23, 421,232.09 and 103,341.78

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Solution

The fourth proportional to 280,710.23, 421,232.09 and 103,341.78 is: 155,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710.23 : 421,232.09 = 103,341.78 : x
  2. Step 2: Convert to fraction form
    280,710.23/421,232.09 = 103,341.78/x
  3. Step 3: Cross multiply
    280,710.23x = 421,232.09 × 103,341.78
  4. Step 4: Simplify right side
    280,710.23x = 43,530,873,457.01
  5. Step 5: Solve for x
    x = 43,530,873,457.01/280,710.23
  6. Step 6: Final answer
    x = 155,074.06

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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.