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Finding the Fourth Proportional to 306,129.87, 422,430.23 and 170,147.67

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Solution

The fourth proportional to 306,129.87, 422,430.23 and 170,147.67 is: 234,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,129.87 : 422,430.23 = 170,147.67 : x
  2. Step 2: Convert to fraction form
    306,129.87/422,430.23 = 170,147.67/x
  3. Step 3: Cross multiply
    306,129.87x = 422,430.23 × 170,147.67
  4. Step 4: Simplify right side
    306,129.87x = 71,875,518,521.33
  5. Step 5: Solve for x
    x = 71,875,518,521.33/306,129.87
  6. Step 6: Final answer
    x = 234,787.67

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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.