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Finding the Fourth Proportional to 378,094.16, 521,806.71 and 282,434.78

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Solution

The fourth proportional to 378,094.16, 521,806.71 and 282,434.78 is: 389,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,094.16 : 521,806.71 = 282,434.78 : x
  2. Step 2: Convert to fraction form
    378,094.16/521,806.71 = 282,434.78/x
  3. Step 3: Cross multiply
    378,094.16x = 521,806.71 × 282,434.78
  4. Step 4: Simplify right side
    378,094.16x = 147,376,365,705.02
  5. Step 5: Solve for x
    x = 147,376,365,705.02/378,094.16
  6. Step 6: Final answer
    x = 389,787.47

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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.