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Finding the Fourth Proportional to 371,866.08, 513,178.60 and 202,100.64

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Solution

The fourth proportional to 371,866.08, 513,178.60 and 202,100.64 is: 278,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,866.08 : 513,178.60 = 202,100.64 : x
  2. Step 2: Convert to fraction form
    371,866.08/513,178.60 = 202,100.64/x
  3. Step 3: Cross multiply
    371,866.08x = 513,178.60 × 202,100.64
  4. Step 4: Simplify right side
    371,866.08x = 103,713,723,494.30
  5. Step 5: Solve for x
    x = 103,713,723,494.30/371,866.08
  6. Step 6: Final answer
    x = 278,900.74

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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.