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Finding the Fourth Proportional to 227,809.40, 342,005.70 and 121,278.20

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Solution

The fourth proportional to 227,809.40, 342,005.70 and 121,278.20 is: 182,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,809.40 : 342,005.70 = 121,278.20 : x
  2. Step 2: Convert to fraction form
    227,809.40/342,005.70 = 121,278.20/x
  3. Step 3: Cross multiply
    227,809.40x = 342,005.70 × 121,278.20
  4. Step 4: Simplify right side
    227,809.40x = 41,477,835,685.74
  5. Step 5: Solve for x
    x = 41,477,835,685.74/227,809.40
  6. Step 6: Final answer
    x = 182,072.54

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1.5x scale

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.