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Finding the Fourth Proportional to 540,285.90, 809,784.69 and 251,710.44

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Solution

The fourth proportional to 540,285.90, 809,784.69 and 251,710.44 is: 377,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,285.90 : 809,784.69 = 251,710.44 : x
  2. Step 2: Convert to fraction form
    540,285.90/809,784.69 = 251,710.44/x
  3. Step 3: Cross multiply
    540,285.90x = 809,784.69 × 251,710.44
  4. Step 4: Simplify right side
    540,285.90x = 203,831,258,060.43
  5. Step 5: Solve for x
    x = 203,831,258,060.43/540,285.90
  6. Step 6: Final answer
    x = 377,265.55

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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.