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Finding the Fourth Proportional to 491,437.06, 678,392.37 and 330,385.50

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Solution

The fourth proportional to 491,437.06, 678,392.37 and 330,385.50 is: 456,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,437.06 : 678,392.37 = 330,385.50 : x
  2. Step 2: Convert to fraction form
    491,437.06/678,392.37 = 330,385.50/x
  3. Step 3: Cross multiply
    491,437.06x = 678,392.37 × 330,385.50
  4. Step 4: Simplify right side
    491,437.06x = 224,131,002,358.64
  5. Step 5: Solve for x
    x = 224,131,002,358.64/491,437.06
  6. Step 6: Final answer
    x = 456,072.65

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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.