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Finding the Fourth Proportional to 399,671.96, 599,934.74 and 172,080.32

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Solution

The fourth proportional to 399,671.96, 599,934.74 and 172,080.32 is: 258,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,671.96 : 599,934.74 = 172,080.32 : x
  2. Step 2: Convert to fraction form
    399,671.96/599,934.74 = 172,080.32/x
  3. Step 3: Cross multiply
    399,671.96x = 599,934.74 × 172,080.32
  4. Step 4: Simplify right side
    399,671.96x = 103,236,958,178.24
  5. Step 5: Solve for x
    x = 103,236,958,178.24/399,671.96
  6. Step 6: Final answer
    x = 258,304.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.