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Finding the Fourth Proportional to 330,665.64, 456,354.26 and 187,410.30

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Solution

The fourth proportional to 330,665.64, 456,354.26 and 187,410.30 is: 258,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,665.64 : 456,354.26 = 187,410.30 : x
  2. Step 2: Convert to fraction form
    330,665.64/456,354.26 = 187,410.30/x
  3. Step 3: Cross multiply
    330,665.64x = 456,354.26 × 187,410.30
  4. Step 4: Simplify right side
    330,665.64x = 85,525,488,772.88
  5. Step 5: Solve for x
    x = 85,525,488,772.88/330,665.64
  6. Step 6: Final answer
    x = 258,646.43

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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.