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Finding the Fourth Proportional to 305,829.91, 458,744.87 and 95,485.87

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Solution

The fourth proportional to 305,829.91, 458,744.87 and 95,485.87 is: 143,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,829.91 : 458,744.87 = 95,485.87 : x
  2. Step 2: Convert to fraction form
    305,829.91/458,744.87 = 95,485.87/x
  3. Step 3: Cross multiply
    305,829.91x = 458,744.87 × 95,485.87
  4. Step 4: Simplify right side
    305,829.91x = 43,803,653,019.99
  5. Step 5: Solve for x
    x = 43,803,653,019.99/305,829.91
  6. Step 6: Final answer
    x = 143,228.81

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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.