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Finding the Fourth Proportional to 254,834.92, 382,253.60 and 77,343.47

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Solution

The fourth proportional to 254,834.92, 382,253.60 and 77,343.47 is: 116,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,834.92 : 382,253.60 = 77,343.47 : x
  2. Step 2: Convert to fraction form
    254,834.92/382,253.60 = 77,343.47/x
  3. Step 3: Cross multiply
    254,834.92x = 382,253.60 × 77,343.47
  4. Step 4: Simplify right side
    254,834.92x = 29,564,819,559.53
  5. Step 5: Solve for x
    x = 29,564,819,559.53/254,834.92
  6. Step 6: Final answer
    x = 116,015.57

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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.