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Finding the Fourth Proportional to 342,021.84, 513,136.56 and 242,374.80

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Solution

The fourth proportional to 342,021.84, 513,136.56 and 242,374.80 is: 363,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,021.84 : 513,136.56 = 242,374.80 : x
  2. Step 2: Convert to fraction form
    342,021.84/513,136.56 = 242,374.80/x
  3. Step 3: Cross multiply
    342,021.84x = 513,136.56 × 242,374.80
  4. Step 4: Simplify right side
    342,021.84x = 124,371,371,102.69
  5. Step 5: Solve for x
    x = 124,371,371,102.69/342,021.84
  6. Step 6: Final answer
    x = 363,635.76

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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.