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Finding the Fourth Proportional to 378,301.32, 522,092.64 and 282,641.94

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Solution

The fourth proportional to 378,301.32, 522,092.64 and 282,641.94 is: 390,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,301.32 : 522,092.64 = 282,641.94 : x
  2. Step 2: Convert to fraction form
    378,301.32/522,092.64 = 282,641.94/x
  3. Step 3: Cross multiply
    378,301.32x = 522,092.64 × 282,641.94
  4. Step 4: Simplify right side
    378,301.32x = 147,565,276,629.32
  5. Step 5: Solve for x
    x = 147,565,276,629.32/378,301.32
  6. Step 6: Final answer
    x = 390,073.39

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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.