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Finding the Fourth Proportional to 202,855.78, 304,458.63 and 78,284.26

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Solution

The fourth proportional to 202,855.78, 304,458.63 and 78,284.26 is: 117,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,855.78 : 304,458.63 = 78,284.26 : x
  2. Step 2: Convert to fraction form
    202,855.78/304,458.63 = 78,284.26/x
  3. Step 3: Cross multiply
    202,855.78x = 304,458.63 × 78,284.26
  4. Step 4: Simplify right side
    202,855.78x = 23,834,317,495.45
  5. Step 5: Solve for x
    x = 23,834,317,495.45/202,855.78
  6. Step 6: Final answer
    x = 117,493.91

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1.5x scale

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.