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Finding the Fourth Proportional to 340,676.84, 510,859.54 and 127,288.24

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Solution

The fourth proportional to 340,676.84, 510,859.54 and 127,288.24 is: 190,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,676.84 : 510,859.54 = 127,288.24 : x
  2. Step 2: Convert to fraction form
    340,676.84/510,859.54 = 127,288.24/x
  3. Step 3: Cross multiply
    340,676.84x = 510,859.54 × 127,288.24
  4. Step 4: Simplify right side
    340,676.84x = 65,026,413,489.36
  5. Step 5: Solve for x
    x = 65,026,413,489.36/340,676.84
  6. Step 6: Final answer
    x = 190,874.18

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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.