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Finding the Fourth Proportional to 319,314.09, 440,654.16 and 176,072.88

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Solution

The fourth proportional to 319,314.09, 440,654.16 and 176,072.88 is: 242,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,314.09 : 440,654.16 = 176,072.88 : x
  2. Step 2: Convert to fraction form
    319,314.09/440,654.16 = 176,072.88/x
  3. Step 3: Cross multiply
    319,314.09x = 440,654.16 × 176,072.88
  4. Step 4: Simplify right side
    319,314.09x = 77,587,247,035.18
  5. Step 5: Solve for x
    x = 77,587,247,035.18/319,314.09
  6. Step 6: Final answer
    x = 242,980.97

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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.