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Finding the Fourth Proportional to 305,052.94, 420,830.67 and 191,938.06

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Solution

The fourth proportional to 305,052.94, 420,830.67 and 191,938.06 is: 264,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052.94 : 420,830.67 = 191,938.06 : x
  2. Step 2: Convert to fraction form
    305,052.94/420,830.67 = 191,938.06/x
  3. Step 3: Cross multiply
    305,052.94x = 420,830.67 × 191,938.06
  4. Step 4: Simplify right side
    305,052.94x = 80,773,422,388.30
  5. Step 5: Solve for x
    x = 80,773,422,388.30/305,052.94
  6. Step 6: Final answer
    x = 264,784.93

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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.