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Finding the Fourth Proportional to 328,666.22, 492,243.81 and 208,714.22

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Solution

The fourth proportional to 328,666.22, 492,243.81 and 208,714.22 is: 312,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,666.22 : 492,243.81 = 208,714.22 : x
  2. Step 2: Convert to fraction form
    328,666.22/492,243.81 = 208,714.22/x
  3. Step 3: Cross multiply
    328,666.22x = 492,243.81 × 208,714.22
  4. Step 4: Simplify right side
    328,666.22x = 102,738,282,853.98
  5. Step 5: Solve for x
    x = 102,738,282,853.98/328,666.22
  6. Step 6: Final answer
    x = 312,591.55

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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.