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Finding the Fourth Proportional to 340,646.49, 510,969.60 and 180,689.31

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Solution

The fourth proportional to 340,646.49, 510,969.60 and 180,689.31 is: 271,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,646.49 : 510,969.60 = 180,689.31 : x
  2. Step 2: Convert to fraction form
    340,646.49/510,969.60 = 180,689.31/x
  3. Step 3: Cross multiply
    340,646.49x = 510,969.60 × 180,689.31
  4. Step 4: Simplify right side
    340,646.49x = 92,326,744,454.98
  5. Step 5: Solve for x
    x = 92,326,744,454.98/340,646.49
  6. Step 6: Final answer
    x = 271,033.89

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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.