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Finding the Fourth Proportional to 319,310.40, 440,649.27 and 176,067.30

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Solution

The fourth proportional to 319,310.40, 440,649.27 and 176,067.30 is: 242,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,310.40 : 440,649.27 = 176,067.30 : x
  2. Step 2: Convert to fraction form
    319,310.40/440,649.27 = 176,067.30/x
  3. Step 3: Cross multiply
    319,310.40x = 440,649.27 × 176,067.30
  4. Step 4: Simplify right side
    319,310.40x = 77,583,927,215.87
  5. Step 5: Solve for x
    x = 77,583,927,215.87/319,310.40
  6. Step 6: Final answer
    x = 242,973.38

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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.