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Finding the Fourth Proportional to 328,090.80, 492,136.20 and 78,772.80

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Solution

The fourth proportional to 328,090.80, 492,136.20 and 78,772.80 is: 118,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,090.80 : 492,136.20 = 78,772.80 : x
  2. Step 2: Convert to fraction form
    328,090.80/492,136.20 = 78,772.80/x
  3. Step 3: Cross multiply
    328,090.80x = 492,136.20 × 78,772.80
  4. Step 4: Simplify right side
    328,090.80x = 38,766,946,455.36
  5. Step 5: Solve for x
    x = 38,766,946,455.36/328,090.80
  6. Step 6: Final answer
    x = 118,159.20

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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.