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Finding the Fourth Proportional to 328,056.80, 491,822.40 and 301,812.80

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Solution

The fourth proportional to 328,056.80, 491,822.40 and 301,812.80 is: 452,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,056.80 : 491,822.40 = 301,812.80 : x
  2. Step 2: Convert to fraction form
    328,056.80/491,822.40 = 301,812.80/x
  3. Step 3: Cross multiply
    328,056.80x = 491,822.40 × 301,812.80
  4. Step 4: Simplify right side
    328,056.80x = 148,438,295,646.72
  5. Step 5: Solve for x
    x = 148,438,295,646.72/328,056.80
  6. Step 6: Final answer
    x = 452,477.42

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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.