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Finding the Fourth Proportional to 284,406.40, 426,494.40 and 97,321.60

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Solution

The fourth proportional to 284,406.40, 426,494.40 and 97,321.60 is: 145,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406.40 : 426,494.40 = 97,321.60 : x
  2. Step 2: Convert to fraction form
    284,406.40/426,494.40 = 97,321.60/x
  3. Step 3: Cross multiply
    284,406.40x = 426,494.40 × 97,321.60
  4. Step 4: Simplify right side
    284,406.40x = 41,507,117,399.04
  5. Step 5: Solve for x
    x = 41,507,117,399.04/284,406.40
  6. Step 6: Final answer
    x = 145,942.98

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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.