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Finding the Fourth Proportional to 371,820.54, 513,109.88 and 202,054.64

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Solution

The fourth proportional to 371,820.54, 513,109.88 and 202,054.64 is: 278,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,820.54 : 513,109.88 = 202,054.64 : x
  2. Step 2: Convert to fraction form
    371,820.54/513,109.88 = 202,054.64/x
  3. Step 3: Cross multiply
    371,820.54x = 513,109.88 × 202,054.64
  4. Step 4: Simplify right side
    371,820.54x = 103,676,232,083.84
  5. Step 5: Solve for x
    x = 103,676,232,083.84/371,820.54
  6. Step 6: Final answer
    x = 278,834.06

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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.