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Finding the Fourth Proportional to 345,478, 476,878.96 and 202,284.08

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Solution

The fourth proportional to 345,478, 476,878.96 and 202,284.08 is: 279,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,478 : 476,878.96 = 202,284.08 : x
  2. Step 2: Convert to fraction form
    345,478/476,878.96 = 202,284.08/x
  3. Step 3: Cross multiply
    345,478x = 476,878.96 × 202,284.08
  4. Step 4: Simplify right side
    345,478x = 96,465,021,694.96
  5. Step 5: Solve for x
    x = 96,465,021,694.96/345,478
  6. Step 6: Final answer
    x = 279,221.89

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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.