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Finding the Fourth Proportional to 419,210.55, 628,913.43 and 119,695.23

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Solution

The fourth proportional to 419,210.55, 628,913.43 and 119,695.23 is: 179,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,210.55 : 628,913.43 = 119,695.23 : x
  2. Step 2: Convert to fraction form
    419,210.55/628,913.43 = 119,695.23/x
  3. Step 3: Cross multiply
    419,210.55x = 628,913.43 × 119,695.23
  4. Step 4: Simplify right side
    419,210.55x = 75,277,937,653.94
  5. Step 5: Solve for x
    x = 75,277,937,653.94/419,210.55
  6. Step 6: Final answer
    x = 179,570.71

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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.