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Finding the Fourth Proportional to 378,094.60, 521,807.32 and 282,435.22

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Solution

The fourth proportional to 378,094.60, 521,807.32 and 282,435.22 is: 389,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,094.60 : 521,807.32 = 282,435.22 : x
  2. Step 2: Convert to fraction form
    378,094.60/521,807.32 = 282,435.22/x
  3. Step 3: Cross multiply
    378,094.60x = 521,807.32 × 282,435.22
  4. Step 4: Simplify right side
    378,094.60x = 147,376,764,515.72
  5. Step 5: Solve for x
    x = 147,376,764,515.72/378,094.60
  6. Step 6: Final answer
    x = 389,788.07

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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.