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Finding the Fourth Proportional to 339,378.18, 509,178 and 161,862.12

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Solution

The fourth proportional to 339,378.18, 509,178 and 161,862.12 is: 242,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,378.18 : 509,178 = 161,862.12 : x
  2. Step 2: Convert to fraction form
    339,378.18/509,178 = 161,862.12/x
  3. Step 3: Cross multiply
    339,378.18x = 509,178 × 161,862.12
  4. Step 4: Simplify right side
    339,378.18x = 82,416,631,810.31
  5. Step 5: Solve for x
    x = 82,416,631,810.31/339,378.18
  6. Step 6: Final answer
    x = 242,846.00

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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.