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Finding the Fourth Proportional to 330,645, 456,290.28 and 179,742

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Solution

The fourth proportional to 330,645, 456,290.28 and 179,742 is: 248,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,645 : 456,290.28 = 179,742 : x
  2. Step 2: Convert to fraction form
    330,645/456,290.28 = 179,742/x
  3. Step 3: Cross multiply
    330,645x = 456,290.28 × 179,742
  4. Step 4: Simplify right side
    330,645x = 82,014,527,507.76
  5. Step 5: Solve for x
    x = 82,014,527,507.76/330,645
  6. Step 6: Final answer
    x = 248,044.06

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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.