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Finding the Fourth Proportional to 328,991.10, 493,486.65 and 142,002.60

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Solution

The fourth proportional to 328,991.10, 493,486.65 and 142,002.60 is: 213,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,991.10 : 493,486.65 = 142,002.60 : x
  2. Step 2: Convert to fraction form
    328,991.10/493,486.65 = 142,002.60/x
  3. Step 3: Cross multiply
    328,991.10x = 493,486.65 × 142,002.60
  4. Step 4: Simplify right side
    328,991.10x = 70,076,387,365.29
  5. Step 5: Solve for x
    x = 70,076,387,365.29/328,991.10
  6. Step 6: Final answer
    x = 213,003.90

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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.