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Finding the Fourth Proportional to 340,922.74, 511,508.80 and 158,640.48

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Solution

The fourth proportional to 340,922.74, 511,508.80 and 158,640.48 is: 238,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,922.74 : 511,508.80 = 158,640.48 : x
  2. Step 2: Convert to fraction form
    340,922.74/511,508.80 = 158,640.48/x
  3. Step 3: Cross multiply
    340,922.74x = 511,508.80 × 158,640.48
  4. Step 4: Simplify right side
    340,922.74x = 81,146,000,133.82
  5. Step 5: Solve for x
    x = 81,146,000,133.82/340,922.74
  6. Step 6: Final answer
    x = 238,018.74

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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.