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Finding the Fourth Proportional to 298,325.82, 446,898.21 and 260,928.12

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Solution

The fourth proportional to 298,325.82, 446,898.21 and 260,928.12 is: 390,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,325.82 : 446,898.21 = 260,928.12 : x
  2. Step 2: Convert to fraction form
    298,325.82/446,898.21 = 260,928.12/x
  3. Step 3: Cross multiply
    298,325.82x = 446,898.21 × 260,928.12
  4. Step 4: Simplify right side
    298,325.82x = 116,608,309,766.67
  5. Step 5: Solve for x
    x = 116,608,309,766.67/298,325.82
  6. Step 6: Final answer
    x = 390,875.69

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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.