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Finding the Fourth Proportional to 399,681.88, 599,949.62 and 172,090.12

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Solution

The fourth proportional to 399,681.88, 599,949.62 and 172,090.12 is: 258,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,681.88 : 599,949.62 = 172,090.12 : x
  2. Step 2: Convert to fraction form
    399,681.88/599,949.62 = 172,090.12/x
  3. Step 3: Cross multiply
    399,681.88x = 599,949.62 × 172,090.12
  4. Step 4: Simplify right side
    399,681.88x = 103,245,402,099.75
  5. Step 5: Solve for x
    x = 103,245,402,099.75/399,681.88
  6. Step 6: Final answer
    x = 258,318.95

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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.