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Finding the Fourth Proportional to 362,068.20, 543,116.88 and 172,431

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Solution

The fourth proportional to 362,068.20, 543,116.88 and 172,431 is: 258,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,068.20 : 543,116.88 = 172,431 : x
  2. Step 2: Convert to fraction form
    362,068.20/543,116.88 = 172,431/x
  3. Step 3: Cross multiply
    362,068.20x = 543,116.88 × 172,431
  4. Step 4: Simplify right side
    362,068.20x = 93,650,186,735.28
  5. Step 5: Solve for x
    x = 93,650,186,735.28/362,068.20
  6. Step 6: Final answer
    x = 258,653.44

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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.