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Finding the Fourth Proportional to 300,421.28, 414,582.50 and 164,467.87

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Solution

The fourth proportional to 300,421.28, 414,582.50 and 164,467.87 is: 226,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,421.28 : 414,582.50 = 164,467.87 : x
  2. Step 2: Convert to fraction form
    300,421.28/414,582.50 = 164,467.87/x
  3. Step 3: Cross multiply
    300,421.28x = 414,582.50 × 164,467.87
  4. Step 4: Simplify right side
    300,421.28x = 68,185,502,161.90
  5. Step 5: Solve for x
    x = 68,185,502,161.90/300,421.28
  6. Step 6: Final answer
    x = 226,966.29

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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.