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Finding the Fourth Proportional to 328,322.70, 492,396.48 and 91,623.78

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Solution

The fourth proportional to 328,322.70, 492,396.48 and 91,623.78 is: 137,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,322.70 : 492,396.48 = 91,623.78 : x
  2. Step 2: Convert to fraction form
    328,322.70/492,396.48 = 91,623.78/x
  3. Step 3: Cross multiply
    328,322.70x = 492,396.48 × 91,623.78
  4. Step 4: Simplify right side
    328,322.70x = 45,115,226,756.29
  5. Step 5: Solve for x
    x = 45,115,226,756.29/328,322.70
  6. Step 6: Final answer
    x = 137,411.23

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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.