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Finding the Fourth Proportional to 580,780.32, 801,456.12 and 326,142.24

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Solution

The fourth proportional to 580,780.32, 801,456.12 and 326,142.24 is: 450,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,780.32 : 801,456.12 = 326,142.24 : x
  2. Step 2: Convert to fraction form
    580,780.32/801,456.12 = 326,142.24/x
  3. Step 3: Cross multiply
    580,780.32x = 801,456.12 × 326,142.24
  4. Step 4: Simplify right side
    580,780.32x = 261,388,694,238.51
  5. Step 5: Solve for x
    x = 261,388,694,238.51/580,780.32
  6. Step 6: Final answer
    x = 450,064.65

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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.