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Finding the Fourth Proportional to 206,438.40, 309,657.00 and 56,678.83

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Solution

The fourth proportional to 206,438.40, 309,657.00 and 56,678.83 is: 85,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,438.40 : 309,657.00 = 56,678.83 : x
  2. Step 2: Convert to fraction form
    206,438.40/309,657.00 = 56,678.83/x
  3. Step 3: Cross multiply
    206,438.40x = 309,657.00 × 56,678.83
  4. Step 4: Simplify right side
    206,438.40x = 17,550,994,771.33
  5. Step 5: Solve for x
    x = 17,550,994,771.33/206,438.40
  6. Step 6: Final answer
    x = 85,018.07

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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.