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Finding the Fourth Proportional to 539,978.40, 809,967.12 and 166,000.80

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Solution

The fourth proportional to 539,978.40, 809,967.12 and 166,000.80 is: 249,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,978.40 : 809,967.12 = 166,000.80 : x
  2. Step 2: Convert to fraction form
    539,978.40/809,967.12 = 166,000.80/x
  3. Step 3: Cross multiply
    539,978.40x = 809,967.12 × 166,000.80
  4. Step 4: Simplify right side
    539,978.40x = 134,455,189,893.70
  5. Step 5: Solve for x
    x = 134,455,189,893.70/539,978.40
  6. Step 6: Final answer
    x = 249,001.05

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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.