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Finding the Fourth Proportional to 442,777.06, 664,231.20 and 232,431.40

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Solution

The fourth proportional to 442,777.06, 664,231.20 and 232,431.40 is: 348,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,777.06 : 664,231.20 = 232,431.40 : x
  2. Step 2: Convert to fraction form
    442,777.06/664,231.20 = 232,431.40/x
  3. Step 3: Cross multiply
    442,777.06x = 664,231.20 × 232,431.40
  4. Step 4: Simplify right side
    442,777.06x = 154,388,187,739.68
  5. Step 5: Solve for x
    x = 154,388,187,739.68/442,777.06
  6. Step 6: Final answer
    x = 348,681.54

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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.