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Finding the Fourth Proportional to 305,502.05, 458,143.71 and 105,768.81

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Solution

The fourth proportional to 305,502.05, 458,143.71 and 105,768.81 is: 158,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,502.05 : 458,143.71 = 105,768.81 : x
  2. Step 2: Convert to fraction form
    305,502.05/458,143.71 = 105,768.81/x
  3. Step 3: Cross multiply
    305,502.05x = 458,143.71 × 105,768.81
  4. Step 4: Simplify right side
    305,502.05x = 48,457,315,015.69
  5. Step 5: Solve for x
    x = 48,457,315,015.69/305,502.05
  6. Step 6: Final answer
    x = 158,615.35

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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.