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Finding the Fourth Proportional to 399,871.22, 599,401.62 and 172,315.08

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Solution

The fourth proportional to 399,871.22, 599,401.62 and 172,315.08 is: 258,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,871.22 : 599,401.62 = 172,315.08 : x
  2. Step 2: Convert to fraction form
    399,871.22/599,401.62 = 172,315.08/x
  3. Step 3: Cross multiply
    399,871.22x = 599,401.62 × 172,315.08
  4. Step 4: Simplify right side
    399,871.22x = 103,285,938,102.43
  5. Step 5: Solve for x
    x = 103,285,938,102.43/399,871.22
  6. Step 6: Final answer
    x = 258,298.01

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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.