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Finding the Fourth Proportional to 533,978.40, 800,967.60 and 218,330.40

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Solution

The fourth proportional to 533,978.40, 800,967.60 and 218,330.40 is: 327,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,978.40 : 800,967.60 = 218,330.40 : x
  2. Step 2: Convert to fraction form
    533,978.40/800,967.60 = 218,330.40/x
  3. Step 3: Cross multiply
    533,978.40x = 800,967.60 × 218,330.40
  4. Step 4: Simplify right side
    533,978.40x = 174,875,576,495.04
  5. Step 5: Solve for x
    x = 174,875,576,495.04/533,978.40
  6. Step 6: Final answer
    x = 327,495.60

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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.