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Finding the Fourth Proportional to 274,078.80, 411,233.40 and 149,509.20

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Solution

The fourth proportional to 274,078.80, 411,233.40 and 149,509.20 is: 224,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,078.80 : 411,233.40 = 149,509.20 : x
  2. Step 2: Convert to fraction form
    274,078.80/411,233.40 = 149,509.20/x
  3. Step 3: Cross multiply
    274,078.80x = 411,233.40 × 149,509.20
  4. Step 4: Simplify right side
    274,078.80x = 61,483,176,647.28
  5. Step 5: Solve for x
    x = 61,483,176,647.28/274,078.80
  6. Step 6: Final answer
    x = 224,326.64

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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.