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Finding the Fourth Proportional to 342,391.30, 513,308.62 and 142,860.35

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Solution

The fourth proportional to 342,391.30, 513,308.62 and 142,860.35 is: 214,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,391.30 : 513,308.62 = 142,860.35 : x
  2. Step 2: Convert to fraction form
    342,391.30/513,308.62 = 142,860.35/x
  3. Step 3: Cross multiply
    342,391.30x = 513,308.62 × 142,860.35
  4. Step 4: Simplify right side
    342,391.30x = 73,331,450,573.06
  5. Step 5: Solve for x
    x = 73,331,450,573.06/342,391.30
  6. Step 6: Final answer
    x = 214,174.40

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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.