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Finding the Fourth Proportional to 340,304.29, 510,771.49 and 171,943.11

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Solution

The fourth proportional to 340,304.29, 510,771.49 and 171,943.11 is: 258,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,304.29 : 510,771.49 = 171,943.11 : x
  2. Step 2: Convert to fraction form
    340,304.29/510,771.49 = 171,943.11/x
  3. Step 3: Cross multiply
    340,304.29x = 510,771.49 × 171,943.11
  4. Step 4: Simplify right side
    340,304.29x = 87,823,638,060.08
  5. Step 5: Solve for x
    x = 87,823,638,060.08/340,304.29
  6. Step 6: Final answer
    x = 258,073.85

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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.