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Finding the Fourth Proportional to 409,740.20, 614,034.30 and 325,644.20

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Solution

The fourth proportional to 409,740.20, 614,034.30 and 325,644.20 is: 488,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,740.20 : 614,034.30 = 325,644.20 : x
  2. Step 2: Convert to fraction form
    409,740.20/614,034.30 = 325,644.20/x
  3. Step 3: Cross multiply
    409,740.20x = 614,034.30 × 325,644.20
  4. Step 4: Simplify right side
    409,740.20x = 199,956,708,396.06
  5. Step 5: Solve for x
    x = 199,956,708,396.06/409,740.20
  6. Step 6: Final answer
    x = 488,008.52

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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.