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Finding the Fourth Proportional to 328,851.60, 493,277.40 and 171,387.60

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Solution

The fourth proportional to 328,851.60, 493,277.40 and 171,387.60 is: 257,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,851.60 : 493,277.40 = 171,387.60 : x
  2. Step 2: Convert to fraction form
    328,851.60/493,277.40 = 171,387.60/x
  3. Step 3: Cross multiply
    328,851.60x = 493,277.40 × 171,387.60
  4. Step 4: Simplify right side
    328,851.60x = 84,541,629,720.24
  5. Step 5: Solve for x
    x = 84,541,629,720.24/328,851.60
  6. Step 6: Final answer
    x = 257,081.40

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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.