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Finding the Fourth Proportional to 298,780, 412,325.20 and 164,652.64

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Solution

The fourth proportional to 298,780, 412,325.20 and 164,652.64 is: 227,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,780 : 412,325.20 = 164,652.64 : x
  2. Step 2: Convert to fraction form
    298,780/412,325.20 = 164,652.64/x
  3. Step 3: Cross multiply
    298,780x = 412,325.20 × 164,652.64
  4. Step 4: Simplify right side
    298,780x = 67,890,432,718.53
  5. Step 5: Solve for x
    x = 67,890,432,718.53/298,780
  6. Step 6: Final answer
    x = 227,225.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.