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Finding the Fourth Proportional to 509,704.19, 764,051.27 and 239,348.37

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Solution

The fourth proportional to 509,704.19, 764,051.27 and 239,348.37 is: 358,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,704.19 : 764,051.27 = 239,348.37 : x
  2. Step 2: Convert to fraction form
    509,704.19/764,051.27 = 239,348.37/x
  3. Step 3: Cross multiply
    509,704.19x = 764,051.27 × 239,348.37
  4. Step 4: Simplify right side
    509,704.19x = 182,874,421,053.93
  5. Step 5: Solve for x
    x = 182,874,421,053.93/509,704.19
  6. Step 6: Final answer
    x = 358,785.40

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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.