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Finding the Fourth Proportional to 343,282.89, 514,853.94 and 129,977.22

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Solution

The fourth proportional to 343,282.89, 514,853.94 and 129,977.22 is: 194,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,282.89 : 514,853.94 = 129,977.22 : x
  2. Step 2: Convert to fraction form
    343,282.89/514,853.94 = 129,977.22/x
  3. Step 3: Cross multiply
    343,282.89x = 514,853.94 × 129,977.22
  4. Step 4: Simplify right side
    343,282.89x = 66,919,283,827.25
  5. Step 5: Solve for x
    x = 66,919,283,827.25/343,282.89
  6. Step 6: Final answer
    x = 194,939.18

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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.