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Finding the Fourth Proportional to 378,094.98, 521,807.84 and 282,435.60

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Solution

The fourth proportional to 378,094.98, 521,807.84 and 282,435.60 is: 389,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,094.98 : 521,807.84 = 282,435.60 : x
  2. Step 2: Convert to fraction form
    378,094.98/521,807.84 = 282,435.60/x
  3. Step 3: Cross multiply
    378,094.98x = 521,807.84 × 282,435.60
  4. Step 4: Simplify right side
    378,094.98x = 147,377,110,375.10
  5. Step 5: Solve for x
    x = 147,377,110,375.10/378,094.98
  6. Step 6: Final answer
    x = 389,788.59

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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.