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Finding the Fourth Proportional to 307,678.72, 461,201.28 and 223,228.48

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Solution

The fourth proportional to 307,678.72, 461,201.28 and 223,228.48 is: 334,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,678.72 : 461,201.28 = 223,228.48 : x
  2. Step 2: Convert to fraction form
    307,678.72/461,201.28 = 223,228.48/x
  3. Step 3: Cross multiply
    307,678.72x = 461,201.28 × 223,228.48
  4. Step 4: Simplify right side
    307,678.72x = 102,953,260,708.45
  5. Step 5: Solve for x
    x = 102,953,260,708.45/307,678.72
  6. Step 6: Final answer
    x = 334,612.87

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1.5x scale

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.