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Finding the Fourth Proportional to 262,982, 362,915.16 and 143,750

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Solution

The fourth proportional to 262,982, 362,915.16 and 143,750 is: 198,375

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,982 : 362,915.16 = 143,750 : x
  2. Step 2: Convert to fraction form
    262,982/362,915.16 = 143,750/x
  3. Step 3: Cross multiply
    262,982x = 362,915.16 × 143,750
  4. Step 4: Simplify right side
    262,982x = 52,169,054,250
  5. Step 5: Solve for x
    x = 52,169,054,250/262,982
  6. Step 6: Final answer
    x = 198,375

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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.