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Finding the Fourth Proportional to 306,421.65, 459,634.51 and 106,745.81

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Solution

The fourth proportional to 306,421.65, 459,634.51 and 106,745.81 is: 160,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,421.65 : 459,634.51 = 106,745.81 : x
  2. Step 2: Convert to fraction form
    306,421.65/459,634.51 = 106,745.81/x
  3. Step 3: Cross multiply
    306,421.65x = 459,634.51 × 106,745.81
  4. Step 4: Simplify right side
    306,421.65x = 49,064,058,073.90
  5. Step 5: Solve for x
    x = 49,064,058,073.90/306,421.65
  6. Step 6: Final answer
    x = 160,119.42

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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.