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Finding the Fourth Proportional to 305,773.92, 458,314.83 and 155,697.20

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Solution

The fourth proportional to 305,773.92, 458,314.83 and 155,697.20 is: 233,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,773.92 : 458,314.83 = 155,697.20 : x
  2. Step 2: Convert to fraction form
    305,773.92/458,314.83 = 155,697.20/x
  3. Step 3: Cross multiply
    305,773.92x = 458,314.83 × 155,697.20
  4. Step 4: Simplify right side
    305,773.92x = 71,358,333,457.90
  5. Step 5: Solve for x
    x = 71,358,333,457.90/305,773.92
  6. Step 6: Final answer
    x = 233,369.59

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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.