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Finding the Fourth Proportional to 286,427.53, 429,721.72 and 84,028.41

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Solution

The fourth proportional to 286,427.53, 429,721.72 and 84,028.41 is: 126,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,427.53 : 429,721.72 = 84,028.41 : x
  2. Step 2: Convert to fraction form
    286,427.53/429,721.72 = 84,028.41/x
  3. Step 3: Cross multiply
    286,427.53x = 429,721.72 × 84,028.41
  4. Step 4: Simplify right side
    286,427.53x = 36,108,833,990.75
  5. Step 5: Solve for x
    x = 36,108,833,990.75/286,427.53
  6. Step 6: Final answer
    x = 126,066.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.