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Finding the Fourth Proportional to 257,051.80, 385,577.70 and 198,002.80

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Solution

The fourth proportional to 257,051.80, 385,577.70 and 198,002.80 is: 297,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,051.80 : 385,577.70 = 198,002.80 : x
  2. Step 2: Convert to fraction form
    257,051.80/385,577.70 = 198,002.80/x
  3. Step 3: Cross multiply
    257,051.80x = 385,577.70 × 198,002.80
  4. Step 4: Simplify right side
    257,051.80x = 76,345,464,217.56
  5. Step 5: Solve for x
    x = 76,345,464,217.56/257,051.80
  6. Step 6: Final answer
    x = 297,004.20

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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.