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Finding the Fourth Proportional to 285,679.35, 428,573.19 and 114,914.13

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Solution

The fourth proportional to 285,679.35, 428,573.19 and 114,914.13 is: 172,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,679.35 : 428,573.19 = 114,914.13 : x
  2. Step 2: Convert to fraction form
    285,679.35/428,573.19 = 114,914.13/x
  3. Step 3: Cross multiply
    285,679.35x = 428,573.19 × 114,914.13
  4. Step 4: Simplify right side
    285,679.35x = 49,249,115,270.17
  5. Step 5: Solve for x
    x = 49,249,115,270.17/285,679.35
  6. Step 6: Final answer
    x = 172,392.98

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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.