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Finding the Fourth Proportional to 253,959.22, 380,950.98 and 209,503.54

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Solution

The fourth proportional to 253,959.22, 380,950.98 and 209,503.54 is: 314,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,959.22 : 380,950.98 = 209,503.54 : x
  2. Step 2: Convert to fraction form
    253,959.22/380,950.98 = 209,503.54/x
  3. Step 3: Cross multiply
    253,959.22x = 380,950.98 × 209,503.54
  4. Step 4: Simplify right side
    253,959.22x = 79,810,578,876.47
  5. Step 5: Solve for x
    x = 79,810,578,876.47/253,959.22
  6. Step 6: Final answer
    x = 314,265.33

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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.