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Finding the Fourth Proportional to 409,897.40, 614,846.10 and 324,276.35

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Solution

The fourth proportional to 409,897.40, 614,846.10 and 324,276.35 is: 486,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897.40 : 614,846.10 = 324,276.35 : x
  2. Step 2: Convert to fraction form
    409,897.40/614,846.10 = 324,276.35/x
  3. Step 3: Cross multiply
    409,897.40x = 614,846.10 × 324,276.35
  4. Step 4: Simplify right side
    409,897.40x = 199,380,049,119.74
  5. Step 5: Solve for x
    x = 199,380,049,119.74/409,897.40
  6. Step 6: Final answer
    x = 486,414.53

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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.