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Finding the Fourth Proportional to 472,942.80, 709,394.34 and 220,136.40

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Solution

The fourth proportional to 472,942.80, 709,394.34 and 220,136.40 is: 330,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,942.80 : 709,394.34 = 220,136.40 : x
  2. Step 2: Convert to fraction form
    472,942.80/709,394.34 = 220,136.40/x
  3. Step 3: Cross multiply
    472,942.80x = 709,394.34 × 220,136.40
  4. Step 4: Simplify right side
    472,942.80x = 156,163,516,187.98
  5. Step 5: Solve for x
    x = 156,163,516,187.98/472,942.80
  6. Step 6: Final answer
    x = 330,195.36

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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.