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Finding the Fourth Proportional to 321,416.93, 482,120.48 and 78,260.27

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Solution

The fourth proportional to 321,416.93, 482,120.48 and 78,260.27 is: 117,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.93 : 482,120.48 = 78,260.27 : x
  2. Step 2: Convert to fraction form
    321,416.93/482,120.48 = 78,260.27/x
  3. Step 3: Cross multiply
    321,416.93x = 482,120.48 × 78,260.27
  4. Step 4: Simplify right side
    321,416.93x = 37,730,876,722.38
  5. Step 5: Solve for x
    x = 37,730,876,722.38/321,416.93
  6. Step 6: Final answer
    x = 117,389.20

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1.5x scale

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.