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Finding the Fourth Proportional to 453,432.80, 678,536.40 and 394,911.20

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Solution

The fourth proportional to 453,432.80, 678,536.40 and 394,911.20 is: 590,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,432.80 : 678,536.40 = 394,911.20 : x
  2. Step 2: Convert to fraction form
    453,432.80/678,536.40 = 394,911.20/x
  3. Step 3: Cross multiply
    453,432.80x = 678,536.40 × 394,911.20
  4. Step 4: Simplify right side
    453,432.80x = 267,961,623,967.68
  5. Step 5: Solve for x
    x = 267,961,623,967.68/453,432.80
  6. Step 6: Final answer
    x = 590,962.15

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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.