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Finding the Fourth Proportional to 371,948.33, 513,283.01 and 208,604.80

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Solution

The fourth proportional to 371,948.33, 513,283.01 and 208,604.80 is: 287,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,948.33 : 513,283.01 = 208,604.80 : x
  2. Step 2: Convert to fraction form
    371,948.33/513,283.01 = 208,604.80/x
  3. Step 3: Cross multiply
    371,948.33x = 513,283.01 × 208,604.80
  4. Step 4: Simplify right side
    371,948.33x = 107,073,299,857.71
  5. Step 5: Solve for x
    x = 107,073,299,857.71/371,948.33
  6. Step 6: Final answer
    x = 287,871.44

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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.