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Finding the Fourth Proportional to 303,564.40, 454,982.10 and 208,794.40

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Solution

The fourth proportional to 303,564.40, 454,982.10 and 208,794.40 is: 312,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,564.40 : 454,982.10 = 208,794.40 : x
  2. Step 2: Convert to fraction form
    303,564.40/454,982.10 = 208,794.40/x
  3. Step 3: Cross multiply
    303,564.40x = 454,982.10 × 208,794.40
  4. Step 4: Simplify right side
    303,564.40x = 94,997,714,580.24
  5. Step 5: Solve for x
    x = 94,997,714,580.24/303,564.40
  6. Step 6: Final answer
    x = 312,940.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.