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Finding the Fourth Proportional to 343,814.40, 515,410.56 and 122,146.56

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Solution

The fourth proportional to 343,814.40, 515,410.56 and 122,146.56 is: 183,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,814.40 : 515,410.56 = 122,146.56 : x
  2. Step 2: Convert to fraction form
    343,814.40/515,410.56 = 122,146.56/x
  3. Step 3: Cross multiply
    343,814.40x = 515,410.56 × 122,146.56
  4. Step 4: Simplify right side
    343,814.40x = 62,955,626,891.67
  5. Step 5: Solve for x
    x = 62,955,626,891.67/343,814.40
  6. Step 6: Final answer
    x = 183,109.34

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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.