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Finding the Fourth Proportional to 342,025.07, 512,760.88 and 142,495.34

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Solution

The fourth proportional to 342,025.07, 512,760.88 and 142,495.34 is: 213,627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,025.07 : 512,760.88 = 142,495.34 : x
  2. Step 2: Convert to fraction form
    342,025.07/512,760.88 = 142,495.34/x
  3. Step 3: Cross multiply
    342,025.07x = 512,760.88 × 142,495.34
  4. Step 4: Simplify right side
    342,025.07x = 73,066,033,548.61
  5. Step 5: Solve for x
    x = 73,066,033,548.61/342,025.07
  6. Step 6: Final answer
    x = 213,627.72

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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.