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Finding the Fourth Proportional to 491,978.80, 678,685.80 and 330,840.64

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Solution

The fourth proportional to 491,978.80, 678,685.80 and 330,840.64 is: 456,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,978.80 : 678,685.80 = 330,840.64 : x
  2. Step 2: Convert to fraction form
    491,978.80/678,685.80 = 330,840.64/x
  3. Step 3: Cross multiply
    491,978.80x = 678,685.80 × 330,840.64
  4. Step 4: Simplify right side
    491,978.80x = 224,536,844,430.91
  5. Step 5: Solve for x
    x = 224,536,844,430.91/491,978.80
  6. Step 6: Final answer
    x = 456,395.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.