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Finding the Fourth Proportional to 343,650, 474,214.21 and 190,678.49

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Solution

The fourth proportional to 343,650, 474,214.21 and 190,678.49 is: 263,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,650 : 474,214.21 = 190,678.49 : x
  2. Step 2: Convert to fraction form
    343,650/474,214.21 = 190,678.49/x
  3. Step 3: Cross multiply
    343,650x = 474,214.21 × 190,678.49
  4. Step 4: Simplify right side
    343,650x = 90,422,449,499.34
  5. Step 5: Solve for x
    x = 90,422,449,499.34/343,650
  6. Step 6: Final answer
    x = 263,123.67

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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.