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Finding the Fourth Proportional to 329,705.40, 454,993.68 and 178,802.40

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Solution

The fourth proportional to 329,705.40, 454,993.68 and 178,802.40 is: 246,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,705.40 : 454,993.68 = 178,802.40 : x
  2. Step 2: Convert to fraction form
    329,705.40/454,993.68 = 178,802.40/x
  3. Step 3: Cross multiply
    329,705.40x = 454,993.68 × 178,802.40
  4. Step 4: Simplify right side
    329,705.40x = 81,353,961,968.83
  5. Step 5: Solve for x
    x = 81,353,961,968.83/329,705.40
  6. Step 6: Final answer
    x = 246,747.44

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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.