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Finding the Fourth Proportional to 371,974.56, 513,328.56 and 202,209.12

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Solution

The fourth proportional to 371,974.56, 513,328.56 and 202,209.12 is: 279,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,974.56 : 513,328.56 = 202,209.12 : x
  2. Step 2: Convert to fraction form
    371,974.56/513,328.56 = 202,209.12/x
  3. Step 3: Cross multiply
    371,974.56x = 513,328.56 × 202,209.12
  4. Step 4: Simplify right side
    371,974.56x = 103,799,716,388.47
  5. Step 5: Solve for x
    x = 103,799,716,388.47/371,974.56
  6. Step 6: Final answer
    x = 279,050.58

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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.