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Finding the Fourth Proportional to 298,731.42, 412,652.21 and 277,473.78

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Solution

The fourth proportional to 298,731.42, 412,652.21 and 277,473.78 is: 383,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731.42 : 412,652.21 = 277,473.78 : x
  2. Step 2: Convert to fraction form
    298,731.42/412,652.21 = 277,473.78/x
  3. Step 3: Cross multiply
    298,731.42x = 412,652.21 × 277,473.78
  4. Step 4: Simplify right side
    298,731.42x = 114,500,167,146.69
  5. Step 5: Solve for x
    x = 114,500,167,146.69/298,731.42
  6. Step 6: Final answer
    x = 383,288.00

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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.