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Finding the Fourth Proportional to 378,455.64, 522,264.96 and 206,373.18

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Solution

The fourth proportional to 378,455.64, 522,264.96 and 206,373.18 is: 284,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,455.64 : 522,264.96 = 206,373.18 : x
  2. Step 2: Convert to fraction form
    378,455.64/522,264.96 = 206,373.18/x
  3. Step 3: Cross multiply
    378,455.64x = 522,264.96 × 206,373.18
  4. Step 4: Simplify right side
    378,455.64x = 107,781,480,597.77
  5. Step 5: Solve for x
    x = 107,781,480,597.77/378,455.64
  6. Step 6: Final answer
    x = 284,792.90

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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.