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Finding the Fourth Proportional to 411,488.61, 617,170.55 and 111,992.53

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Solution

The fourth proportional to 411,488.61, 617,170.55 and 111,992.53 is: 167,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,488.61 : 617,170.55 = 111,992.53 : x
  2. Step 2: Convert to fraction form
    411,488.61/617,170.55 = 111,992.53/x
  3. Step 3: Cross multiply
    411,488.61x = 617,170.55 × 111,992.53
  4. Step 4: Simplify right side
    411,488.61x = 69,118,490,073.05
  5. Step 5: Solve for x
    x = 69,118,490,073.05/411,488.61
  6. Step 6: Final answer
    x = 167,971.82

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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.