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Finding the Fourth Proportional to 315,714, 435,715.29 and 172,495.62

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Solution

The fourth proportional to 315,714, 435,715.29 and 172,495.62 is: 238,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,714 : 435,715.29 = 172,495.62 : x
  2. Step 2: Convert to fraction form
    315,714/435,715.29 = 172,495.62/x
  3. Step 3: Cross multiply
    315,714x = 435,715.29 × 172,495.62
  4. Step 4: Simplify right side
    315,714x = 75,158,979,092.03
  5. Step 5: Solve for x
    x = 75,158,979,092.03/315,714
  6. Step 6: Final answer
    x = 238,060.33

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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.