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Finding the Fourth Proportional to 329,212, 454,312.56 and 178,309

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Solution

The fourth proportional to 329,212, 454,312.56 and 178,309 is: 246,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,212 : 454,312.56 = 178,309 : x
  2. Step 2: Convert to fraction form
    329,212/454,312.56 = 178,309/x
  3. Step 3: Cross multiply
    329,212x = 454,312.56 × 178,309
  4. Step 4: Simplify right side
    329,212x = 81,008,018,261.04
  5. Step 5: Solve for x
    x = 81,008,018,261.04/329,212
  6. Step 6: Final answer
    x = 246,066.42

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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.