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Finding the Fourth Proportional to 511,009.68, 705,485.66 and 339,160.69

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Solution

The fourth proportional to 511,009.68, 705,485.66 and 339,160.69 is: 468,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,009.68 : 705,485.66 = 339,160.69 : x
  2. Step 2: Convert to fraction form
    511,009.68/705,485.66 = 339,160.69/x
  3. Step 3: Cross multiply
    511,009.68x = 705,485.66 × 339,160.69
  4. Step 4: Simplify right side
    511,009.68x = 239,273,003,230.71
  5. Step 5: Solve for x
    x = 239,273,003,230.71/511,009.68
  6. Step 6: Final answer
    x = 468,235.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.