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Finding the Fourth Proportional to 363,903.36, 543,296.21 and 278,064.96

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Solution

The fourth proportional to 363,903.36, 543,296.21 and 278,064.96 is: 415,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,903.36 : 543,296.21 = 278,064.96 : x
  2. Step 2: Convert to fraction form
    363,903.36/543,296.21 = 278,064.96/x
  3. Step 3: Cross multiply
    363,903.36x = 543,296.21 × 278,064.96
  4. Step 4: Simplify right side
    363,903.36x = 151,071,638,901.80
  5. Step 5: Solve for x
    x = 151,071,638,901.80/363,903.36
  6. Step 6: Final answer
    x = 415,142.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.