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Finding the Fourth Proportional to 328,055.72, 452,750.34 and 200,815.40

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Solution

The fourth proportional to 328,055.72, 452,750.34 and 200,815.40 is: 277,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,055.72 : 452,750.34 = 200,815.40 : x
  2. Step 2: Convert to fraction form
    328,055.72/452,750.34 = 200,815.40/x
  3. Step 3: Cross multiply
    328,055.72x = 452,750.34 × 200,815.40
  4. Step 4: Simplify right side
    328,055.72x = 90,919,240,627.24
  5. Step 5: Solve for x
    x = 90,919,240,627.24/328,055.72
  6. Step 6: Final answer
    x = 277,145.73

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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.