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Finding the Fourth Proportional to 414,328.01, 620,495.10 and 280,803.15

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Solution

The fourth proportional to 414,328.01, 620,495.10 and 280,803.15 is: 420,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,328.01 : 620,495.10 = 280,803.15 : x
  2. Step 2: Convert to fraction form
    414,328.01/620,495.10 = 280,803.15/x
  3. Step 3: Cross multiply
    414,328.01x = 620,495.10 × 280,803.15
  4. Step 4: Simplify right side
    414,328.01x = 174,236,978,639.57
  5. Step 5: Solve for x
    x = 174,236,978,639.57/414,328.01
  6. Step 6: Final answer
    x = 420,529.09

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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.