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Finding the Fourth Proportional to 378,304.32, 522,096.78 and 282,644.94

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Solution

The fourth proportional to 378,304.32, 522,096.78 and 282,644.94 is: 390,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,304.32 : 522,096.78 = 282,644.94 : x
  2. Step 2: Convert to fraction form
    378,304.32/522,096.78 = 282,644.94/x
  3. Step 3: Cross multiply
    378,304.32x = 522,096.78 × 282,644.94
  4. Step 4: Simplify right side
    378,304.32x = 147,568,013,057.29
  5. Step 5: Solve for x
    x = 147,568,013,057.29/378,304.32
  6. Step 6: Final answer
    x = 390,077.53

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1.5x scale

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.