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Finding the Fourth Proportional to 319,106.54, 440,479.81 and 285,055.89

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Solution

The fourth proportional to 319,106.54, 440,479.81 and 285,055.89 is: 393,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,106.54 : 440,479.81 = 285,055.89 : x
  2. Step 2: Convert to fraction form
    319,106.54/440,479.81 = 285,055.89/x
  3. Step 3: Cross multiply
    319,106.54x = 440,479.81 × 285,055.89
  4. Step 4: Simplify right side
    319,106.54x = 125,561,364,266.58
  5. Step 5: Solve for x
    x = 125,561,364,266.58/319,106.54
  6. Step 6: Final answer
    x = 393,477.88

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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.