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Finding the Fourth Proportional to 374,894.32, 517,353.60 and 205,128.40

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Solution

The fourth proportional to 374,894.32, 517,353.60 and 205,128.40 is: 283,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,894.32 : 517,353.60 = 205,128.40 : x
  2. Step 2: Convert to fraction form
    374,894.32/517,353.60 = 205,128.40/x
  3. Step 3: Cross multiply
    374,894.32x = 517,353.60 × 205,128.40
  4. Step 4: Simplify right side
    374,894.32x = 106,123,916,202.24
  5. Step 5: Solve for x
    x = 106,123,916,202.24/374,894.32
  6. Step 6: Final answer
    x = 283,076.88

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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.