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Finding the Fourth Proportional to 342,204.58, 513,394.47 and 142,458.58

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Solution

The fourth proportional to 342,204.58, 513,394.47 and 142,458.58 is: 213,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,204.58 : 513,394.47 = 142,458.58 : x
  2. Step 2: Convert to fraction form
    342,204.58/513,394.47 = 142,458.58/x
  3. Step 3: Cross multiply
    342,204.58x = 513,394.47 × 142,458.58
  4. Step 4: Simplify right side
    342,204.58x = 73,137,447,176.05
  5. Step 5: Solve for x
    x = 73,137,447,176.05/342,204.58
  6. Step 6: Final answer
    x = 213,724.34

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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.