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Finding the Fourth Proportional to 328,409.92, 492,681.60 and 103,805.44

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Solution

The fourth proportional to 328,409.92, 492,681.60 and 103,805.44 is: 155,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,409.92 : 492,681.60 = 103,805.44 : x
  2. Step 2: Convert to fraction form
    328,409.92/492,681.60 = 103,805.44/x
  3. Step 3: Cross multiply
    328,409.92x = 492,681.60 × 103,805.44
  4. Step 4: Simplify right side
    328,409.92x = 51,143,030,267.90
  5. Step 5: Solve for x
    x = 51,143,030,267.90/328,409.92
  6. Step 6: Final answer
    x = 155,729.25

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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.