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Finding the Fourth Proportional to 319,129.78, 440,401.77 and 175,890.19

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Solution

The fourth proportional to 319,129.78, 440,401.77 and 175,890.19 is: 242,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,129.78 : 440,401.77 = 175,890.19 : x
  2. Step 2: Convert to fraction form
    319,129.78/440,401.77 = 175,890.19/x
  3. Step 3: Cross multiply
    319,129.78x = 440,401.77 × 175,890.19
  4. Step 4: Simplify right side
    319,129.78x = 77,462,351,001.64
  5. Step 5: Solve for x
    x = 77,462,351,001.64/319,129.78
  6. Step 6: Final answer
    x = 242,729.94

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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.