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Finding the Fourth Proportional to 318,051.30, 438,914.19 and 172,857.09

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Solution

The fourth proportional to 318,051.30, 438,914.19 and 172,857.09 is: 238,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,051.30 : 438,914.19 = 172,857.09 : x
  2. Step 2: Convert to fraction form
    318,051.30/438,914.19 = 172,857.09/x
  3. Step 3: Cross multiply
    318,051.30x = 438,914.19 × 172,857.09
  4. Step 4: Simplify right side
    318,051.30x = 75,869,429,643.11
  5. Step 5: Solve for x
    x = 75,869,429,643.11/318,051.30
  6. Step 6: Final answer
    x = 238,544.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.