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Finding the Fourth Proportional to 519,318.80, 778,978.20 and 491,762.60

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Solution

The fourth proportional to 519,318.80, 778,978.20 and 491,762.60 is: 737,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,318.80 : 778,978.20 = 491,762.60 : x
  2. Step 2: Convert to fraction form
    519,318.80/778,978.20 = 491,762.60/x
  3. Step 3: Cross multiply
    519,318.80x = 778,978.20 × 491,762.60
  4. Step 4: Simplify right side
    519,318.80x = 383,072,344,975.32
  5. Step 5: Solve for x
    x = 383,072,344,975.32/519,318.80
  6. Step 6: Final answer
    x = 737,643.90

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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.