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Finding the Fourth Proportional to 392,431.50, 588,735 and 143,113.50

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Solution

The fourth proportional to 392,431.50, 588,735 and 143,113.50 is: 214,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,431.50 : 588,735 = 143,113.50 : x
  2. Step 2: Convert to fraction form
    392,431.50/588,735 = 143,113.50/x
  3. Step 3: Cross multiply
    392,431.50x = 588,735 × 143,113.50
  4. Step 4: Simplify right side
    392,431.50x = 84,255,926,422.50
  5. Step 5: Solve for x
    x = 84,255,926,422.50/392,431.50
  6. Step 6: Final answer
    x = 214,702.25

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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.