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Finding the Fourth Proportional to 340,143.54, 469,417.49 and 194,973.50

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Solution

The fourth proportional to 340,143.54, 469,417.49 and 194,973.50 is: 269,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,143.54 : 469,417.49 = 194,973.50 : x
  2. Step 2: Convert to fraction form
    340,143.54/469,417.49 = 194,973.50/x
  3. Step 3: Cross multiply
    340,143.54x = 469,417.49 × 194,973.50
  4. Step 4: Simplify right side
    340,143.54x = 91,523,967,664.56
  5. Step 5: Solve for x
    x = 91,523,967,664.56/340,143.54
  6. Step 6: Final answer
    x = 269,074.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.