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Finding the Fourth Proportional to 305,469.79, 457,608.67 and 199,968.91

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Solution

The fourth proportional to 305,469.79, 457,608.67 and 199,968.91 is: 299,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,469.79 : 457,608.67 = 199,968.91 : x
  2. Step 2: Convert to fraction form
    305,469.79/457,608.67 = 199,968.91/x
  3. Step 3: Cross multiply
    305,469.79x = 457,608.67 × 199,968.91
  4. Step 4: Simplify right side
    305,469.79x = 91,507,506,946.45
  5. Step 5: Solve for x
    x = 91,507,506,946.45/305,469.79
  6. Step 6: Final answer
    x = 299,563.20

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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.