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Finding the Fourth Proportional to 328,705, 493,096.38 and 107,089

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Solution

The fourth proportional to 328,705, 493,096.38 and 107,089 is: 160,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,705 : 493,096.38 = 107,089 : x
  2. Step 2: Convert to fraction form
    328,705/493,096.38 = 107,089/x
  3. Step 3: Cross multiply
    328,705x = 493,096.38 × 107,089
  4. Step 4: Simplify right side
    328,705x = 52,805,198,237.82
  5. Step 5: Solve for x
    x = 52,805,198,237.82/328,705
  6. Step 6: Final answer
    x = 160,646.17

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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.