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Finding the Fourth Proportional to 328,990.60, 493,485.90 and 142,002.10

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Solution

The fourth proportional to 328,990.60, 493,485.90 and 142,002.10 is: 213,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,990.60 : 493,485.90 = 142,002.10 : x
  2. Step 2: Convert to fraction form
    328,990.60/493,485.90 = 142,002.10/x
  3. Step 3: Cross multiply
    328,990.60x = 493,485.90 × 142,002.10
  4. Step 4: Simplify right side
    328,990.60x = 70,076,034,120.39
  5. Step 5: Solve for x
    x = 70,076,034,120.39/328,990.60
  6. Step 6: Final answer
    x = 213,003.15

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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.