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Finding the Fourth Proportional to 328,665.22, 492,242.31 and 208,713.22

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Solution

The fourth proportional to 328,665.22, 492,242.31 and 208,713.22 is: 312,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,665.22 : 492,242.31 = 208,713.22 : x
  2. Step 2: Convert to fraction form
    328,665.22/492,242.31 = 208,713.22/x
  3. Step 3: Cross multiply
    328,665.22x = 492,242.31 × 208,713.22
  4. Step 4: Simplify right side
    328,665.22x = 102,737,477,540.34
  5. Step 5: Solve for x
    x = 102,737,477,540.34/328,665.22
  6. Step 6: Final answer
    x = 312,590.05

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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.