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Finding the Fourth Proportional to 286,496.53, 429,744.31 and 76,134.47

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Solution

The fourth proportional to 286,496.53, 429,744.31 and 76,134.47 is: 114,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,496.53 : 429,744.31 = 76,134.47 : x
  2. Step 2: Convert to fraction form
    286,496.53/429,744.31 = 76,134.47/x
  3. Step 3: Cross multiply
    286,496.53x = 429,744.31 × 76,134.47
  4. Step 4: Simplify right side
    286,496.53x = 32,718,352,938.31
  5. Step 5: Solve for x
    x = 32,718,352,938.31/286,496.53
  6. Step 6: Final answer
    x = 114,201.57

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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.