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Finding the Fourth Proportional to 308,647.36, 462,971.80 and 166,559.50

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Solution

The fourth proportional to 308,647.36, 462,971.80 and 166,559.50 is: 249,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,647.36 : 462,971.80 = 166,559.50 : x
  2. Step 2: Convert to fraction form
    308,647.36/462,971.80 = 166,559.50/x
  3. Step 3: Cross multiply
    308,647.36x = 462,971.80 × 166,559.50
  4. Step 4: Simplify right side
    308,647.36x = 77,112,351,522.10
  5. Step 5: Solve for x
    x = 77,112,351,522.10/308,647.36
  6. Step 6: Final answer
    x = 249,839.66

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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.