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Finding the Fourth Proportional to 645,991.82, 968,913.90 and 172,714.08

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Solution

The fourth proportional to 645,991.82, 968,913.90 and 172,714.08 is: 259,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,991.82 : 968,913.90 = 172,714.08 : x
  2. Step 2: Convert to fraction form
    645,991.82/968,913.90 = 172,714.08/x
  3. Step 3: Cross multiply
    645,991.82x = 968,913.90 × 172,714.08
  4. Step 4: Simplify right side
    645,991.82x = 167,345,072,837.71
  5. Step 5: Solve for x
    x = 167,345,072,837.71/645,991.82
  6. Step 6: Final answer
    x = 259,051.38

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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.