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Finding the Fourth Proportional to 293,558.40, 405,278.64 and 193,248

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Solution

The fourth proportional to 293,558.40, 405,278.64 and 193,248 is: 266,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,558.40 : 405,278.64 = 193,248 : x
  2. Step 2: Convert to fraction form
    293,558.40/405,278.64 = 193,248/x
  3. Step 3: Cross multiply
    293,558.40x = 405,278.64 × 193,248
  4. Step 4: Simplify right side
    293,558.40x = 78,319,286,622.72
  5. Step 5: Solve for x
    x = 78,319,286,622.72/293,558.40
  6. Step 6: Final answer
    x = 266,792.87

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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.