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Finding the Fourth Proportional to 483,280.96, 724,522.32 and 213,216.64

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Solution

The fourth proportional to 483,280.96, 724,522.32 and 213,216.64 is: 319,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,280.96 : 724,522.32 = 213,216.64 : x
  2. Step 2: Convert to fraction form
    483,280.96/724,522.32 = 213,216.64/x
  3. Step 3: Cross multiply
    483,280.96x = 724,522.32 × 213,216.64
  4. Step 4: Simplify right side
    483,280.96x = 154,480,214,675.41
  5. Step 5: Solve for x
    x = 154,480,214,675.41/483,280.96
  6. Step 6: Final answer
    x = 319,648.87

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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.