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Finding the Fourth Proportional to 316,781.72, 437,158.79 and 189,457.31

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Solution

The fourth proportional to 316,781.72, 437,158.79 and 189,457.31 is: 261,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,781.72 : 437,158.79 = 189,457.31 : x
  2. Step 2: Convert to fraction form
    316,781.72/437,158.79 = 189,457.31/x
  3. Step 3: Cross multiply
    316,781.72x = 437,158.79 × 189,457.31
  4. Step 4: Simplify right side
    316,781.72x = 82,822,929,252.33
  5. Step 5: Solve for x
    x = 82,822,929,252.33/316,781.72
  6. Step 6: Final answer
    x = 261,451.10

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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.