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Finding the Fourth Proportional to 511,665.92, 767,758.08 and 345,104

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Solution

The fourth proportional to 511,665.92, 767,758.08 and 345,104 is: 517,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,665.92 : 767,758.08 = 345,104 : x
  2. Step 2: Convert to fraction form
    511,665.92/767,758.08 = 345,104/x
  3. Step 3: Cross multiply
    511,665.92x = 767,758.08 × 345,104
  4. Step 4: Simplify right side
    511,665.92x = 264,956,384,440.32
  5. Step 5: Solve for x
    x = 264,956,384,440.32/511,665.92
  6. Step 6: Final answer
    x = 517,830.82

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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.