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Finding the Fourth Proportional to 371,578.50, 512,764.56 and 201,808.98

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Solution

The fourth proportional to 371,578.50, 512,764.56 and 201,808.98 is: 278,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,578.50 : 512,764.56 = 201,808.98 : x
  2. Step 2: Convert to fraction form
    371,578.50/512,764.56 = 201,808.98/x
  3. Step 3: Cross multiply
    371,578.50x = 512,764.56 × 201,808.98
  4. Step 4: Simplify right side
    371,578.50x = 103,480,492,833.75
  5. Step 5: Solve for x
    x = 103,480,492,833.75/371,578.50
  6. Step 6: Final answer
    x = 278,488.91

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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.