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Finding the Fourth Proportional to 412,855.86, 618,697.80 and 172,710.96

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Solution

The fourth proportional to 412,855.86, 618,697.80 and 172,710.96 is: 258,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,855.86 : 618,697.80 = 172,710.96 : x
  2. Step 2: Convert to fraction form
    412,855.86/618,697.80 = 172,710.96/x
  3. Step 3: Cross multiply
    412,855.86x = 618,697.80 × 172,710.96
  4. Step 4: Simplify right side
    412,855.86x = 106,855,890,987.89
  5. Step 5: Solve for x
    x = 106,855,890,987.89/412,855.86
  6. Step 6: Final answer
    x = 258,821.30

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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.