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Finding the Fourth Proportional to 465,644.58, 642,080.97 and 314,479.14

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Solution

The fourth proportional to 465,644.58, 642,080.97 and 314,479.14 is: 433,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,644.58 : 642,080.97 = 314,479.14 : x
  2. Step 2: Convert to fraction form
    465,644.58/642,080.97 = 314,479.14/x
  3. Step 3: Cross multiply
    465,644.58x = 642,080.97 × 314,479.14
  4. Step 4: Simplify right side
    465,644.58x = 201,921,071,255.97
  5. Step 5: Solve for x
    x = 201,921,071,255.97/465,644.58
  6. Step 6: Final answer
    x = 433,637.76

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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.