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Finding the Fourth Proportional to 801,321.70, 1,201,978.02 and 202,280.40

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Solution

The fourth proportional to 801,321.70, 1,201,978.02 and 202,280.40 is: 303,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,321.70 : 1,201,978.02 = 202,280.40 : x
  2. Step 2: Convert to fraction form
    801,321.70/1,201,978.02 = 202,280.40/x
  3. Step 3: Cross multiply
    801,321.70x = 1,201,978.02 × 202,280.40
  4. Step 4: Simplify right side
    801,321.70x = 243,136,594,676.81
  5. Step 5: Solve for x
    x = 243,136,594,676.81/801,321.70
  6. Step 6: Final answer
    x = 303,419.46

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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.