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Finding the Fourth Proportional to 319,262.32, 440,866.80 and 304,138

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Solution

The fourth proportional to 319,262.32, 440,866.80 and 304,138 is: 419,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,262.32 : 440,866.80 = 304,138 : x
  2. Step 2: Convert to fraction form
    319,262.32/440,866.80 = 304,138/x
  3. Step 3: Cross multiply
    319,262.32x = 440,866.80 × 304,138
  4. Step 4: Simplify right side
    319,262.32x = 134,084,346,818.40
  5. Step 5: Solve for x
    x = 134,084,346,818.40/319,262.32
  6. Step 6: Final answer
    x = 419,981.75

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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.