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Finding the Fourth Proportional to 307,977.74, 461,886.41 and 130,393.34

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Solution

The fourth proportional to 307,977.74, 461,886.41 and 130,393.34 is: 195,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,977.74 : 461,886.41 = 130,393.34 : x
  2. Step 2: Convert to fraction form
    307,977.74/461,886.41 = 130,393.34/x
  3. Step 3: Cross multiply
    307,977.74x = 461,886.41 × 130,393.34
  4. Step 4: Simplify right side
    307,977.74x = 60,226,909,391.08
  5. Step 5: Solve for x
    x = 60,226,909,391.08/307,977.74
  6. Step 6: Final answer
    x = 195,556.05

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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.