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Finding the Fourth Proportional to 305,501.67, 458,143.16 and 105,768.43

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Solution

The fourth proportional to 305,501.67, 458,143.16 and 105,768.43 is: 158,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,501.67 : 458,143.16 = 105,768.43 : x
  2. Step 2: Convert to fraction form
    305,501.67/458,143.16 = 105,768.43/x
  3. Step 3: Cross multiply
    305,501.67x = 458,143.16 × 105,768.43
  4. Step 4: Simplify right side
    305,501.67x = 48,457,081,074.24
  5. Step 5: Solve for x
    x = 48,457,081,074.24/305,501.67
  6. Step 6: Final answer
    x = 158,614.78

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1.5x scale

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.