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Finding the Fourth Proportional to 300,937.50, 415,294.47 and 166,801.50

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Solution

The fourth proportional to 300,937.50, 415,294.47 and 166,801.50 is: 230,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,937.50 : 415,294.47 = 166,801.50 : x
  2. Step 2: Convert to fraction form
    300,937.50/415,294.47 = 166,801.50/x
  3. Step 3: Cross multiply
    300,937.50x = 415,294.47 × 166,801.50
  4. Step 4: Simplify right side
    300,937.50x = 69,271,740,537.71
  5. Step 5: Solve for x
    x = 69,271,740,537.71/300,937.50
  6. Step 6: Final answer
    x = 230,186.47

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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.