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Finding the Fourth Proportional to 290,877.90, 401,080.56 and 204,809.40

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Solution

The fourth proportional to 290,877.90, 401,080.56 and 204,809.40 is: 282,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,877.90 : 401,080.56 = 204,809.40 : x
  2. Step 2: Convert to fraction form
    290,877.90/401,080.56 = 204,809.40/x
  3. Step 3: Cross multiply
    290,877.90x = 401,080.56 × 204,809.40
  4. Step 4: Simplify right side
    290,877.90x = 82,145,068,845.26
  5. Step 5: Solve for x
    x = 82,145,068,845.26/290,877.90
  6. Step 6: Final answer
    x = 282,403.95

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1.5x scale

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.