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Finding the Fourth Proportional to 294,021.96, 405,978.80 and 225,931.56

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Solution

The fourth proportional to 294,021.96, 405,978.80 and 225,931.56 is: 311,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,021.96 : 405,978.80 = 225,931.56 : x
  2. Step 2: Convert to fraction form
    294,021.96/405,978.80 = 225,931.56/x
  3. Step 3: Cross multiply
    294,021.96x = 405,978.80 × 225,931.56
  4. Step 4: Simplify right side
    294,021.96x = 91,723,423,610.93
  5. Step 5: Solve for x
    x = 91,723,423,610.93/294,021.96
  6. Step 6: Final answer
    x = 311,961.13

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1.5x scale

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.