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Finding the Fourth Proportional to 206,528.40, 309,800.23 and 56,780.39

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Solution

The fourth proportional to 206,528.40, 309,800.23 and 56,780.39 is: 85,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,528.40 : 309,800.23 = 56,780.39 : x
  2. Step 2: Convert to fraction form
    206,528.40/309,800.23 = 56,780.39/x
  3. Step 3: Cross multiply
    206,528.40x = 309,800.23 × 56,780.39
  4. Step 4: Simplify right side
    206,528.40x = 17,590,578,514.04
  5. Step 5: Solve for x
    x = 17,590,578,514.04/206,528.40
  6. Step 6: Final answer
    x = 85,172.69

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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.