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Finding the Fourth Proportional to 329,580, 454,820.40 and 178,677

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Solution

The fourth proportional to 329,580, 454,820.40 and 178,677 is: 246,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,580 : 454,820.40 = 178,677 : x
  2. Step 2: Convert to fraction form
    329,580/454,820.40 = 178,677/x
  3. Step 3: Cross multiply
    329,580x = 454,820.40 × 178,677
  4. Step 4: Simplify right side
    329,580x = 81,265,944,610.80
  5. Step 5: Solve for x
    x = 81,265,944,610.80/329,580
  6. Step 6: Final answer
    x = 246,574.26

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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.