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Finding the Fourth Proportional to 321,768.42, 482,656.26 and 97,131

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Solution

The fourth proportional to 321,768.42, 482,656.26 and 97,131 is: 145,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,768.42 : 482,656.26 = 97,131 : x
  2. Step 2: Convert to fraction form
    321,768.42/482,656.26 = 97,131/x
  3. Step 3: Cross multiply
    321,768.42x = 482,656.26 × 97,131
  4. Step 4: Simplify right side
    321,768.42x = 46,880,885,190.06
  5. Step 5: Solve for x
    x = 46,880,885,190.06/321,768.42
  6. Step 6: Final answer
    x = 145,697.60

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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.