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Finding the Fourth Proportional to 399,614.40, 599,344.80 and 119,140.80

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Solution

The fourth proportional to 399,614.40, 599,344.80 and 119,140.80 is: 178,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,614.40 : 599,344.80 = 119,140.80 : x
  2. Step 2: Convert to fraction form
    399,614.40/599,344.80 = 119,140.80/x
  3. Step 3: Cross multiply
    399,614.40x = 599,344.80 × 119,140.80
  4. Step 4: Simplify right side
    399,614.40x = 71,406,418,947.84
  5. Step 5: Solve for x
    x = 71,406,418,947.84/399,614.40
  6. Step 6: Final answer
    x = 178,688.30

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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.