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Finding the Fourth Proportional to 437,878.40, 656,299.20 and 326,940.80

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Solution

The fourth proportional to 437,878.40, 656,299.20 and 326,940.80 is: 490,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,878.40 : 656,299.20 = 326,940.80 : x
  2. Step 2: Convert to fraction form
    437,878.40/656,299.20 = 326,940.80/x
  3. Step 3: Cross multiply
    437,878.40x = 656,299.20 × 326,940.80
  4. Step 4: Simplify right side
    437,878.40x = 214,570,985,487.36
  5. Step 5: Solve for x
    x = 214,570,985,487.36/437,878.40
  6. Step 6: Final answer
    x = 490,024.14

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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.