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Finding the Fourth Proportional to 374,842.64, 517,294.71 and 205,076.76

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Solution

The fourth proportional to 374,842.64, 517,294.71 and 205,076.76 is: 283,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,842.64 : 517,294.71 = 205,076.76 : x
  2. Step 2: Convert to fraction form
    374,842.64/517,294.71 = 205,076.76/x
  3. Step 3: Cross multiply
    374,842.64x = 517,294.71 × 205,076.76
  4. Step 4: Simplify right side
    374,842.64x = 106,085,123,091.94
  5. Step 5: Solve for x
    x = 106,085,123,091.94/374,842.64
  6. Step 6: Final answer
    x = 283,012.42

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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.