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Finding the Fourth Proportional to 330,507, 456,138.54 and 196,371

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Solution

The fourth proportional to 330,507, 456,138.54 and 196,371 is: 271,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,507 : 456,138.54 = 196,371 : x
  2. Step 2: Convert to fraction form
    330,507/456,138.54 = 196,371/x
  3. Step 3: Cross multiply
    330,507x = 456,138.54 × 196,371
  4. Step 4: Simplify right side
    330,507x = 89,572,381,238.34
  5. Step 5: Solve for x
    x = 89,572,381,238.34/330,507
  6. Step 6: Final answer
    x = 271,015.08

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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.