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Finding the Fourth Proportional to 419,896.83, 630,209.19 and 220,358.19

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Solution

The fourth proportional to 419,896.83, 630,209.19 and 220,358.19 is: 330,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,896.83 : 630,209.19 = 220,358.19 : x
  2. Step 2: Convert to fraction form
    419,896.83/630,209.19 = 220,358.19/x
  3. Step 3: Cross multiply
    419,896.83x = 630,209.19 × 220,358.19
  4. Step 4: Simplify right side
    419,896.83x = 138,871,756,429.77
  5. Step 5: Solve for x
    x = 138,871,756,429.77/419,896.83
  6. Step 6: Final answer
    x = 330,728.28

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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.