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Finding the Fourth Proportional to 298,555.88, 412,007.11 and 164,419.88

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Solution

The fourth proportional to 298,555.88, 412,007.11 and 164,419.88 is: 226,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,555.88 : 412,007.11 = 164,419.88 : x
  2. Step 2: Convert to fraction form
    298,555.88/412,007.11 = 164,419.88/x
  3. Step 3: Cross multiply
    298,555.88x = 412,007.11 × 164,419.88
  4. Step 4: Simplify right side
    298,555.88x = 67,742,157,114.26
  5. Step 5: Solve for x
    x = 67,742,157,114.26/298,555.88
  6. Step 6: Final answer
    x = 226,899.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.