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Finding the Fourth Proportional to 491,656.80, 678,442.64 and 273,848.80

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Solution

The fourth proportional to 491,656.80, 678,442.64 and 273,848.80 is: 377,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,656.80 : 678,442.64 = 273,848.80 : x
  2. Step 2: Convert to fraction form
    491,656.80/678,442.64 = 273,848.80/x
  3. Step 3: Cross multiply
    491,656.80x = 678,442.64 × 273,848.80
  4. Step 4: Simplify right side
    491,656.80x = 185,790,702,832.83
  5. Step 5: Solve for x
    x = 185,790,702,832.83/491,656.80
  6. Step 6: Final answer
    x = 377,886.98

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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.