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Finding the Fourth Proportional to 206,478.69, 309,714.39 and 56,718.39

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Solution

The fourth proportional to 206,478.69, 309,714.39 and 56,718.39 is: 85,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.69 : 309,714.39 = 56,718.39 : x
  2. Step 2: Convert to fraction form
    206,478.69/309,714.39 = 56,718.39/x
  3. Step 3: Cross multiply
    206,478.69x = 309,714.39 × 56,718.39
  4. Step 4: Simplify right side
    206,478.69x = 17,566,501,560.63
  5. Step 5: Solve for x
    x = 17,566,501,560.63/206,478.69
  6. Step 6: Final answer
    x = 85,076.58

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1.5x scale

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.