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Finding the Fourth Proportional to 328,409.58, 492,629.02 and 100,688.81

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Solution

The fourth proportional to 328,409.58, 492,629.02 and 100,688.81 is: 151,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,409.58 : 492,629.02 = 100,688.81 : x
  2. Step 2: Convert to fraction form
    328,409.58/492,629.02 = 100,688.81/x
  3. Step 3: Cross multiply
    328,409.58x = 492,629.02 × 100,688.81
  4. Step 4: Simplify right side
    328,409.58x = 49,602,230,775.12
  5. Step 5: Solve for x
    x = 49,602,230,775.12/328,409.58
  6. Step 6: Final answer
    x = 151,037.71

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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.