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Finding the Fourth Proportional to 328,980.60, 492,814.80 and 188,575.20

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Solution

The fourth proportional to 328,980.60, 492,814.80 and 188,575.20 is: 282,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,980.60 : 492,814.80 = 188,575.20 : x
  2. Step 2: Convert to fraction form
    328,980.60/492,814.80 = 188,575.20/x
  3. Step 3: Cross multiply
    328,980.60x = 492,814.80 × 188,575.20
  4. Step 4: Simplify right side
    328,980.60x = 92,932,649,472.96
  5. Step 5: Solve for x
    x = 92,932,649,472.96/328,980.60
  6. Step 6: Final answer
    x = 282,486.72

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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.