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Finding the Fourth Proportional to 540,978.20, 811,544.10 and 166,962.20

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Solution

The fourth proportional to 540,978.20, 811,544.10 and 166,962.20 is: 250,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,978.20 : 811,544.10 = 166,962.20 : x
  2. Step 2: Convert to fraction form
    540,978.20/811,544.10 = 166,962.20/x
  3. Step 3: Cross multiply
    540,978.20x = 811,544.10 × 166,962.20
  4. Step 4: Simplify right side
    540,978.20x = 135,497,188,333.02
  5. Step 5: Solve for x
    x = 135,497,188,333.02/540,978.20
  6. Step 6: Final answer
    x = 250,467.00

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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.