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Finding the Fourth Proportional to 306,539.66, 459,812.06 and 106,859.67

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Solution

The fourth proportional to 306,539.66, 459,812.06 and 106,859.67 is: 160,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,539.66 : 459,812.06 = 106,859.67 : x
  2. Step 2: Convert to fraction form
    306,539.66/459,812.06 = 106,859.67/x
  3. Step 3: Cross multiply
    306,539.66x = 459,812.06 × 106,859.67
  4. Step 4: Simplify right side
    306,539.66x = 49,135,365,260.77
  5. Step 5: Solve for x
    x = 49,135,365,260.77/306,539.66
  6. Step 6: Final answer
    x = 160,290.40

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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.