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Finding the Fourth Proportional to 362,070.20, 543,119.88 and 172,433

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Solution

The fourth proportional to 362,070.20, 543,119.88 and 172,433 is: 258,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,070.20 : 543,119.88 = 172,433 : x
  2. Step 2: Convert to fraction form
    362,070.20/543,119.88 = 172,433/x
  3. Step 3: Cross multiply
    362,070.20x = 543,119.88 × 172,433
  4. Step 4: Simplify right side
    362,070.20x = 93,651,790,268.04
  5. Step 5: Solve for x
    x = 93,651,790,268.04/362,070.20
  6. Step 6: Final answer
    x = 258,656.44

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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.