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Finding the Fourth Proportional to 498,271.70, 747,045.48 and 198,662.42

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Solution

The fourth proportional to 498,271.70, 747,045.48 and 198,662.42 is: 297,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,271.70 : 747,045.48 = 198,662.42 : x
  2. Step 2: Convert to fraction form
    498,271.70/747,045.48 = 198,662.42/x
  3. Step 3: Cross multiply
    498,271.70x = 747,045.48 × 198,662.42
  4. Step 4: Simplify right side
    498,271.70x = 148,409,865,519.46
  5. Step 5: Solve for x
    x = 148,409,865,519.46/498,271.70
  6. Step 6: Final answer
    x = 297,849.28

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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.