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Finding the Fourth Proportional to 405,364.56, 608,178 and 194,975.04

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Solution

The fourth proportional to 405,364.56, 608,178 and 194,975.04 is: 292,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,364.56 : 608,178 = 194,975.04 : x
  2. Step 2: Convert to fraction form
    405,364.56/608,178 = 194,975.04/x
  3. Step 3: Cross multiply
    405,364.56x = 608,178 × 194,975.04
  4. Step 4: Simplify right side
    405,364.56x = 118,579,529,877.12
  5. Step 5: Solve for x
    x = 118,579,529,877.12/405,364.56
  6. Step 6: Final answer
    x = 292,525.65

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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.