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Finding the Fourth Proportional to 371,879.64, 513,191.50 and 202,113.77

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Solution

The fourth proportional to 371,879.64, 513,191.50 and 202,113.77 is: 278,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,879.64 : 513,191.50 = 202,113.77 : x
  2. Step 2: Convert to fraction form
    371,879.64/513,191.50 = 202,113.77/x
  3. Step 3: Cross multiply
    371,879.64x = 513,191.50 × 202,113.77
  4. Step 4: Simplify right side
    371,879.64x = 103,723,065,725.71
  5. Step 5: Solve for x
    x = 103,723,065,725.71/371,879.64
  6. Step 6: Final answer
    x = 278,915.69

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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.