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Finding the Fourth Proportional to 328,515.80, 492,698.36 and 91,875.20

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Solution

The fourth proportional to 328,515.80, 492,698.36 and 91,875.20 is: 137,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,515.80 : 492,698.36 = 91,875.20 : x
  2. Step 2: Convert to fraction form
    328,515.80/492,698.36 = 91,875.20/x
  3. Step 3: Cross multiply
    328,515.80x = 492,698.36 × 91,875.20
  4. Step 4: Simplify right side
    328,515.80x = 45,266,758,130.87
  5. Step 5: Solve for x
    x = 45,266,758,130.87/328,515.80
  6. Step 6: Final answer
    x = 137,791.73

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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.