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Finding the Fourth Proportional to 413,212.80, 618,652.80 and 401,548.80

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Solution

The fourth proportional to 413,212.80, 618,652.80 and 401,548.80 is: 601,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,212.80 : 618,652.80 = 401,548.80 : x
  2. Step 2: Convert to fraction form
    413,212.80/618,652.80 = 401,548.80/x
  3. Step 3: Cross multiply
    413,212.80x = 618,652.80 × 401,548.80
  4. Step 4: Simplify right side
    413,212.80x = 248,419,289,456.64
  5. Step 5: Solve for x
    x = 248,419,289,456.64/413,212.80
  6. Step 6: Final answer
    x = 601,189.72

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1.5x scale

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.