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Finding the Fourth Proportional to 321,795.72, 482,771.64 and 97,142.76

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Solution

The fourth proportional to 321,795.72, 482,771.64 and 97,142.76 is: 145,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,795.72 : 482,771.64 = 97,142.76 : x
  2. Step 2: Convert to fraction form
    321,795.72/482,771.64 = 97,142.76/x
  3. Step 3: Cross multiply
    321,795.72x = 482,771.64 × 97,142.76
  4. Step 4: Simplify right side
    321,795.72x = 46,897,769,559.33
  5. Step 5: Solve for x
    x = 46,897,769,559.33/321,795.72
  6. Step 6: Final answer
    x = 145,737.70

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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.