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Finding the Fourth Proportional to 342,222.33, 513,384.54 and 142,428.96

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Solution

The fourth proportional to 342,222.33, 513,384.54 and 142,428.96 is: 213,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,222.33 : 513,384.54 = 142,428.96 : x
  2. Step 2: Convert to fraction form
    342,222.33/513,384.54 = 142,428.96/x
  3. Step 3: Cross multiply
    342,222.33x = 513,384.54 × 142,428.96
  4. Step 4: Simplify right side
    342,222.33x = 73,120,826,112.28
  5. Step 5: Solve for x
    x = 73,120,826,112.28/342,222.33
  6. Step 6: Final answer
    x = 213,664.68

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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.