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Finding the Fourth Proportional to 411,337.12, 617,074.80 and 130,940.32

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Solution

The fourth proportional to 411,337.12, 617,074.80 and 130,940.32 is: 196,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,337.12 : 617,074.80 = 130,940.32 : x
  2. Step 2: Convert to fraction form
    411,337.12/617,074.80 = 130,940.32/x
  3. Step 3: Cross multiply
    411,337.12x = 617,074.80 × 130,940.32
  4. Step 4: Simplify right side
    411,337.12x = 80,799,971,775.94
  5. Step 5: Solve for x
    x = 80,799,971,775.94/411,337.12
  6. Step 6: Final answer
    x = 196,432.48

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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.