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Finding the Fourth Proportional to 300,429.61, 414,638.40 and 171,367.45

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Solution

The fourth proportional to 300,429.61, 414,638.40 and 171,367.45 is: 236,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,429.61 : 414,638.40 = 171,367.45 : x
  2. Step 2: Convert to fraction form
    300,429.61/414,638.40 = 171,367.45/x
  3. Step 3: Cross multiply
    300,429.61x = 414,638.40 × 171,367.45
  4. Step 4: Simplify right side
    300,429.61x = 71,055,525,280.08
  5. Step 5: Solve for x
    x = 71,055,525,280.08/300,429.61
  6. Step 6: Final answer
    x = 236,513.06

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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.