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Finding the Fourth Proportional to 307,658.66, 461,536.79 and 130,167

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Solution

The fourth proportional to 307,658.66, 461,536.79 and 130,167 is: 195,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,658.66 : 461,536.79 = 130,167 : x
  2. Step 2: Convert to fraction form
    307,658.66/461,536.79 = 130,167/x
  3. Step 3: Cross multiply
    307,658.66x = 461,536.79 × 130,167
  4. Step 4: Simplify right side
    307,658.66x = 60,076,858,693.10
  5. Step 5: Solve for x
    x = 60,076,858,693.10/307,658.66
  6. Step 6: Final answer
    x = 195,271.15

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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.