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Finding the Fourth Proportional to 578,676.40, 867,323.40 and 298,049.20

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Solution

The fourth proportional to 578,676.40, 867,323.40 and 298,049.20 is: 446,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,676.40 : 867,323.40 = 298,049.20 : x
  2. Step 2: Convert to fraction form
    578,676.40/867,323.40 = 298,049.20/x
  3. Step 3: Cross multiply
    578,676.40x = 867,323.40 × 298,049.20
  4. Step 4: Simplify right side
    578,676.40x = 258,505,045,511.28
  5. Step 5: Solve for x
    x = 258,505,045,511.28/578,676.40
  6. Step 6: Final answer
    x = 446,717.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.