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Finding the Fourth Proportional to 328,206.86, 492,266.55 and 91,529.72

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Solution

The fourth proportional to 328,206.86, 492,266.55 and 91,529.72 is: 137,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,206.86 : 492,266.55 = 91,529.72 : x
  2. Step 2: Convert to fraction form
    328,206.86/492,266.55 = 91,529.72/x
  3. Step 3: Cross multiply
    328,206.86x = 492,266.55 × 91,529.72
  4. Step 4: Simplify right side
    328,206.86x = 45,057,019,486.87
  5. Step 5: Solve for x
    x = 45,057,019,486.87/328,206.86
  6. Step 6: Final answer
    x = 137,282.38

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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.