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Finding the Fourth Proportional to 401,815.50, 605,129.46 and 365,943.30

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Solution

The fourth proportional to 401,815.50, 605,129.46 and 365,943.30 is: 551,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,815.50 : 605,129.46 = 365,943.30 : x
  2. Step 2: Convert to fraction form
    401,815.50/605,129.46 = 365,943.30/x
  3. Step 3: Cross multiply
    401,815.50x = 605,129.46 × 365,943.30
  4. Step 4: Simplify right side
    401,815.50x = 221,443,071,519.62
  5. Step 5: Solve for x
    x = 221,443,071,519.62/401,815.50
  6. Step 6: Final answer
    x = 551,106.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.