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Finding the Fourth Proportional to 369,089.78, 509,343.90 and 199,323.90

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Solution

The fourth proportional to 369,089.78, 509,343.90 and 199,323.90 is: 275,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,089.78 : 509,343.90 = 199,323.90 : x
  2. Step 2: Convert to fraction form
    369,089.78/509,343.90 = 199,323.90/x
  3. Step 3: Cross multiply
    369,089.78x = 509,343.90 × 199,323.90
  4. Step 4: Simplify right side
    369,089.78x = 101,524,412,589.21
  5. Step 5: Solve for x
    x = 101,524,412,589.21/369,089.78
  6. Step 6: Final answer
    x = 275,066.98

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1.5x scale

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.