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Finding the Fourth Proportional to 342,830.40, 513,930.54 and 118,137.36

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Solution

The fourth proportional to 342,830.40, 513,930.54 and 118,137.36 is: 177,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,830.40 : 513,930.54 = 118,137.36 : x
  2. Step 2: Convert to fraction form
    342,830.40/513,930.54 = 118,137.36/x
  3. Step 3: Cross multiply
    342,830.40x = 513,930.54 × 118,137.36
  4. Step 4: Simplify right side
    342,830.40x = 60,714,397,218.97
  5. Step 5: Solve for x
    x = 60,714,397,218.97/342,830.40
  6. Step 6: Final answer
    x = 177,097.47

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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.