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Finding the Fourth Proportional to 339,627.40, 509,409.87 and 114,962.16

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Solution

The fourth proportional to 339,627.40, 509,409.87 and 114,962.16 is: 172,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,627.40 : 509,409.87 = 114,962.16 : x
  2. Step 2: Convert to fraction form
    339,627.40/509,409.87 = 114,962.16/x
  3. Step 3: Cross multiply
    339,627.40x = 509,409.87 × 114,962.16
  4. Step 4: Simplify right side
    339,627.40x = 58,562,856,639.12
  5. Step 5: Solve for x
    x = 58,562,856,639.12/339,627.40
  6. Step 6: Final answer
    x = 172,432.66

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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.