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Finding the Fourth Proportional to 371,912.83, 513,228.93 and 210,782.77

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Solution

The fourth proportional to 371,912.83, 513,228.93 and 210,782.77 is: 290,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,912.83 : 513,228.93 = 210,782.77 : x
  2. Step 2: Convert to fraction form
    371,912.83/513,228.93 = 210,782.77/x
  3. Step 3: Cross multiply
    371,912.83x = 513,228.93 × 210,782.77
  4. Step 4: Simplify right side
    371,912.83x = 108,179,813,436.03
  5. Step 5: Solve for x
    x = 108,179,813,436.03/371,912.83
  6. Step 6: Final answer
    x = 290,874.11

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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.