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Finding the Fourth Proportional to 328,175, 452,881.74 and 177,272

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Solution

The fourth proportional to 328,175, 452,881.74 and 177,272 is: 244,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,175 : 452,881.74 = 177,272 : x
  2. Step 2: Convert to fraction form
    328,175/452,881.74 = 177,272/x
  3. Step 3: Cross multiply
    328,175x = 452,881.74 × 177,272
  4. Step 4: Simplify right side
    328,175x = 80,283,251,813.28
  5. Step 5: Solve for x
    x = 80,283,251,813.28/328,175
  6. Step 6: Final answer
    x = 244,635.49

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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.