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Finding the Fourth Proportional to 342,419.80, 513,629.70 and 155,431.30

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Solution

The fourth proportional to 342,419.80, 513,629.70 and 155,431.30 is: 233,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,419.80 : 513,629.70 = 155,431.30 : x
  2. Step 2: Convert to fraction form
    342,419.80/513,629.70 = 155,431.30/x
  3. Step 3: Cross multiply
    342,419.80x = 513,629.70 × 155,431.30
  4. Step 4: Simplify right side
    342,419.80x = 79,834,131,989.61
  5. Step 5: Solve for x
    x = 79,834,131,989.61/342,419.80
  6. Step 6: Final answer
    x = 233,146.95

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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.