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Finding the Fourth Proportional to 298,261.30, 447,017.36 and 178,406.68

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Solution

The fourth proportional to 298,261.30, 447,017.36 and 178,406.68 is: 267,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,261.30 : 447,017.36 = 178,406.68 : x
  2. Step 2: Convert to fraction form
    298,261.30/447,017.36 = 178,406.68/x
  3. Step 3: Cross multiply
    298,261.30x = 447,017.36 × 178,406.68
  4. Step 4: Simplify right side
    298,261.30x = 79,750,883,099.96
  5. Step 5: Solve for x
    x = 79,750,883,099.96/298,261.30
  6. Step 6: Final answer
    x = 267,385.96

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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.