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Finding the Fourth Proportional to 342,914.73, 514,396.80 and 118,272

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Solution

The fourth proportional to 342,914.73, 514,396.80 and 118,272 is: 177,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,914.73 : 514,396.80 = 118,272 : x
  2. Step 2: Convert to fraction form
    342,914.73/514,396.80 = 118,272/x
  3. Step 3: Cross multiply
    342,914.73x = 514,396.80 × 118,272
  4. Step 4: Simplify right side
    342,914.73x = 60,838,738,329.60
  5. Step 5: Solve for x
    x = 60,838,738,329.60/342,914.73
  6. Step 6: Final answer
    x = 177,416.52

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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.