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Finding the Fourth Proportional to 223,818.22, 308,771.04 and 147,238.78

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Solution

The fourth proportional to 223,818.22, 308,771.04 and 147,238.78 is: 203,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,818.22 : 308,771.04 = 147,238.78 : x
  2. Step 2: Convert to fraction form
    223,818.22/308,771.04 = 147,238.78/x
  3. Step 3: Cross multiply
    223,818.22x = 308,771.04 × 147,238.78
  4. Step 4: Simplify right side
    223,818.22x = 45,463,071,228.93
  5. Step 5: Solve for x
    x = 45,463,071,228.93/223,818.22
  6. Step 6: Final answer
    x = 203,124.98

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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.