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Finding the Fourth Proportional to 491,978.40, 737,967.60 and 482,647.20

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Solution

The fourth proportional to 491,978.40, 737,967.60 and 482,647.20 is: 723,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,978.40 : 737,967.60 = 482,647.20 : x
  2. Step 2: Convert to fraction form
    491,978.40/737,967.60 = 482,647.20/x
  3. Step 3: Cross multiply
    491,978.40x = 737,967.60 × 482,647.20
  4. Step 4: Simplify right side
    491,978.40x = 356,177,995,830.72
  5. Step 5: Solve for x
    x = 356,177,995,830.72/491,978.40
  6. Step 6: Final answer
    x = 723,970.80

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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.