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Finding the Fourth Proportional to 491,607.36, 678,468.96 and 300,747.60

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Solution

The fourth proportional to 491,607.36, 678,468.96 and 300,747.60 is: 415,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,607.36 : 678,468.96 = 300,747.60 : x
  2. Step 2: Convert to fraction form
    491,607.36/678,468.96 = 300,747.60/x
  3. Step 3: Cross multiply
    491,607.36x = 678,468.96 × 300,747.60
  4. Step 4: Simplify right side
    491,607.36x = 204,047,911,394.50
  5. Step 5: Solve for x
    x = 204,047,911,394.50/491,607.36
  6. Step 6: Final answer
    x = 415,062.77

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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.