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Finding the Fourth Proportional to 340,780.58, 511,262.89 and 104,116.81

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Solution

The fourth proportional to 340,780.58, 511,262.89 and 104,116.81 is: 156,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,780.58 : 511,262.89 = 104,116.81 : x
  2. Step 2: Convert to fraction form
    340,780.58/511,262.89 = 104,116.81/x
  3. Step 3: Cross multiply
    340,780.58x = 511,262.89 × 104,116.81
  4. Step 4: Simplify right side
    340,780.58x = 53,231,060,598.35
  5. Step 5: Solve for x
    x = 53,231,060,598.35/340,780.58
  6. Step 6: Final answer
    x = 156,203.33

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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.