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Finding the Fourth Proportional to 289,271.61, 433,744.92 and 198,189.81

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Solution

The fourth proportional to 289,271.61, 433,744.92 and 198,189.81 is: 297,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,271.61 : 433,744.92 = 198,189.81 : x
  2. Step 2: Convert to fraction form
    289,271.61/433,744.92 = 198,189.81/x
  3. Step 3: Cross multiply
    289,271.61x = 433,744.92 × 198,189.81
  4. Step 4: Simplify right side
    289,271.61x = 85,963,823,283.27
  5. Step 5: Solve for x
    x = 85,963,823,283.27/289,271.61
  6. Step 6: Final answer
    x = 297,173.38

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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.