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Finding the Fourth Proportional to 305,607.60, 458,928.40 and 199,172.40

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Solution

The fourth proportional to 305,607.60, 458,928.40 and 199,172.40 is: 299,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,607.60 : 458,928.40 = 199,172.40 : x
  2. Step 2: Convert to fraction form
    305,607.60/458,928.40 = 199,172.40/x
  3. Step 3: Cross multiply
    305,607.60x = 458,928.40 × 199,172.40
  4. Step 4: Simplify right side
    305,607.60x = 91,405,870,856.16
  5. Step 5: Solve for x
    x = 91,405,870,856.16/305,607.60
  6. Step 6: Final answer
    x = 299,095.54

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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.