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Finding the Fourth Proportional to 300,007.90, 414,009.03 and 165,871.90

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Solution

The fourth proportional to 300,007.90, 414,009.03 and 165,871.90 is: 228,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,007.90 : 414,009.03 = 165,871.90 : x
  2. Step 2: Convert to fraction form
    300,007.90/414,009.03 = 165,871.90/x
  3. Step 3: Cross multiply
    300,007.90x = 414,009.03 × 165,871.90
  4. Step 4: Simplify right side
    300,007.90x = 68,672,464,423.26
  5. Step 5: Solve for x
    x = 68,672,464,423.26/300,007.90
  6. Step 6: Final answer
    x = 228,902.19

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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.