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Finding the Fourth Proportional to 411,927, 617,871.96 and 112,406.55

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Solution

The fourth proportional to 411,927, 617,871.96 and 112,406.55 is: 168,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,927 : 617,871.96 = 112,406.55 : x
  2. Step 2: Convert to fraction form
    411,927/617,871.96 = 112,406.55/x
  3. Step 3: Cross multiply
    411,927x = 617,871.96 × 112,406.55
  4. Step 4: Simplify right side
    411,927x = 69,452,855,365.34
  5. Step 5: Solve for x
    x = 69,452,855,365.34/411,927
  6. Step 6: Final answer
    x = 168,604.77

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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.