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Finding the Fourth Proportional to 635,641, 876,818.20 and 380,844.64

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Solution

The fourth proportional to 635,641, 876,818.20 and 380,844.64 is: 525,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,641 : 876,818.20 = 380,844.64 : x
  2. Step 2: Convert to fraction form
    635,641/876,818.20 = 380,844.64/x
  3. Step 3: Cross multiply
    635,641x = 876,818.20 × 380,844.64
  4. Step 4: Simplify right side
    635,641x = 333,931,511,724.45
  5. Step 5: Solve for x
    x = 333,931,511,724.45/635,641
  6. Step 6: Final answer
    x = 525,346.09

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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.