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Finding the Fourth Proportional to 511,080.38, 705,291.92 and 307,134.43

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Solution

The fourth proportional to 511,080.38, 705,291.92 and 307,134.43 is: 423,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,080.38 : 705,291.92 = 307,134.43 : x
  2. Step 2: Convert to fraction form
    511,080.38/705,291.92 = 307,134.43/x
  3. Step 3: Cross multiply
    511,080.38x = 705,291.92 × 307,134.43
  4. Step 4: Simplify right side
    511,080.38x = 216,619,430,837.41
  5. Step 5: Solve for x
    x = 216,619,430,837.41/511,080.38
  6. Step 6: Final answer
    x = 423,846.11

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1.5x scale

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.