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Finding the Fourth Proportional to 418,683.80, 628,032.90 and 119,172.08

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Solution

The fourth proportional to 418,683.80, 628,032.90 and 119,172.08 is: 178,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,683.80 : 628,032.90 = 119,172.08 : x
  2. Step 2: Convert to fraction form
    418,683.80/628,032.90 = 119,172.08/x
  3. Step 3: Cross multiply
    418,683.80x = 628,032.90 × 119,172.08
  4. Step 4: Simplify right side
    418,683.80x = 74,843,987,001.43
  5. Step 5: Solve for x
    x = 74,843,987,001.43/418,683.80
  6. Step 6: Final answer
    x = 178,760.17

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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.