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Finding the Fourth Proportional to 378,094.67, 521,807.41 and 282,435.29

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Solution

The fourth proportional to 378,094.67, 521,807.41 and 282,435.29 is: 389,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,094.67 : 521,807.41 = 282,435.29 : x
  2. Step 2: Convert to fraction form
    378,094.67/521,807.41 = 282,435.29/x
  3. Step 3: Cross multiply
    378,094.67x = 521,807.41 × 282,435.29
  4. Step 4: Simplify right side
    378,094.67x = 147,376,823,146.29
  5. Step 5: Solve for x
    x = 147,376,823,146.29/378,094.67
  6. Step 6: Final answer
    x = 389,788.16

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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.