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Finding the Fourth Proportional to 340,643.49, 510,965.10 and 180,686.31

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Solution

The fourth proportional to 340,643.49, 510,965.10 and 180,686.31 is: 271,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,643.49 : 510,965.10 = 180,686.31 : x
  2. Step 2: Convert to fraction form
    340,643.49/510,965.10 = 180,686.31/x
  3. Step 3: Cross multiply
    340,643.49x = 510,965.10 × 180,686.31
  4. Step 4: Simplify right side
    340,643.49x = 92,324,398,457.78
  5. Step 5: Solve for x
    x = 92,324,398,457.78/340,643.49
  6. Step 6: Final answer
    x = 271,029.39

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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.