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Finding the Fourth Proportional to 305,586.61, 458,382.20 and 115,995.87

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Solution

The fourth proportional to 305,586.61, 458,382.20 and 115,995.87 is: 173,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,586.61 : 458,382.20 = 115,995.87 : x
  2. Step 2: Convert to fraction form
    305,586.61/458,382.20 = 115,995.87/x
  3. Step 3: Cross multiply
    305,586.61x = 458,382.20 × 115,995.87
  4. Step 4: Simplify right side
    305,586.61x = 53,170,442,081.51
  5. Step 5: Solve for x
    x = 53,170,442,081.51/305,586.61
  6. Step 6: Final answer
    x = 173,994.67

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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.