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Finding the Fourth Proportional to 491,384.37, 678,115.27 and 273,596.08

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Solution

The fourth proportional to 491,384.37, 678,115.27 and 273,596.08 is: 377,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,384.37 : 678,115.27 = 273,596.08 : x
  2. Step 2: Convert to fraction form
    491,384.37/678,115.27 = 273,596.08/x
  3. Step 3: Cross multiply
    491,384.37x = 678,115.27 × 273,596.08
  4. Step 4: Simplify right side
    491,384.37x = 185,529,678,808.83
  5. Step 5: Solve for x
    x = 185,529,678,808.83/491,384.37
  6. Step 6: Final answer
    x = 377,565.28

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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.