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Finding the Fourth Proportional to 369,089.29, 509,343.17 and 199,323.41

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Solution

The fourth proportional to 369,089.29, 509,343.17 and 199,323.41 is: 275,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,089.29 : 509,343.17 = 199,323.41 : x
  2. Step 2: Convert to fraction form
    369,089.29/509,343.17 = 199,323.41/x
  3. Step 3: Cross multiply
    369,089.29x = 509,343.17 × 199,323.41
  4. Step 4: Simplify right side
    369,089.29x = 101,524,016,507.99
  5. Step 5: Solve for x
    x = 101,524,016,507.99/369,089.29
  6. Step 6: Final answer
    x = 275,066.28

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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.