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Finding the Fourth Proportional to 280,574.18, 421,028.94 and 103,099.13

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Solution

The fourth proportional to 280,574.18, 421,028.94 and 103,099.13 is: 154,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,574.18 : 421,028.94 = 103,099.13 : x
  2. Step 2: Convert to fraction form
    280,574.18/421,028.94 = 103,099.13/x
  3. Step 3: Cross multiply
    280,574.18x = 421,028.94 × 103,099.13
  4. Step 4: Simplify right side
    280,574.18x = 43,407,715,313.68
  5. Step 5: Solve for x
    x = 43,407,715,313.68/280,574.18
  6. Step 6: Final answer
    x = 154,710.30

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1.5x scale

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.