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Finding the Fourth Proportional to 289,147.50, 399,269.79 and 181,897.02

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Solution

The fourth proportional to 289,147.50, 399,269.79 and 181,897.02 is: 251,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147.50 : 399,269.79 = 181,897.02 : x
  2. Step 2: Convert to fraction form
    289,147.50/399,269.79 = 181,897.02/x
  3. Step 3: Cross multiply
    289,147.50x = 399,269.79 × 181,897.02
  4. Step 4: Simplify right side
    289,147.50x = 72,625,984,977.03
  5. Step 5: Solve for x
    x = 72,625,984,977.03/289,147.50
  6. Step 6: Final answer
    x = 251,172.79

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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.