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Finding the Fourth Proportional to 410,145.20, 614,641.80 and 326,049.20

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Solution

The fourth proportional to 410,145.20, 614,641.80 and 326,049.20 is: 488,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,145.20 : 614,641.80 = 326,049.20 : x
  2. Step 2: Convert to fraction form
    410,145.20/614,641.80 = 326,049.20/x
  3. Step 3: Cross multiply
    410,145.20x = 614,641.80 × 326,049.20
  4. Step 4: Simplify right side
    410,145.20x = 200,403,467,176.56
  5. Step 5: Solve for x
    x = 200,403,467,176.56/410,145.20
  6. Step 6: Final answer
    x = 488,615.90

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1.5x scale

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.