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Finding the Fourth Proportional to 412,996.58, 619,420.97 and 262,790.68

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Solution

The fourth proportional to 412,996.58, 619,420.97 and 262,790.68 is: 394,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,996.58 : 619,420.97 = 262,790.68 : x
  2. Step 2: Convert to fraction form
    412,996.58/619,420.97 = 262,790.68/x
  3. Step 3: Cross multiply
    412,996.58x = 619,420.97 × 262,790.68
  4. Step 4: Simplify right side
    412,996.58x = 162,778,056,598.61
  5. Step 5: Solve for x
    x = 162,778,056,598.61/412,996.58
  6. Step 6: Final answer
    x = 394,139.00

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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.