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Finding the Fourth Proportional to 410,059.40, 615,089.10 and 343,704.20

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Solution

The fourth proportional to 410,059.40, 615,089.10 and 343,704.20 is: 515,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,059.40 : 615,089.10 = 343,704.20 : x
  2. Step 2: Convert to fraction form
    410,059.40/615,089.10 = 343,704.20/x
  3. Step 3: Cross multiply
    410,059.40x = 615,089.10 × 343,704.20
  4. Step 4: Simplify right side
    410,059.40x = 211,408,707,044.22
  5. Step 5: Solve for x
    x = 211,408,707,044.22/410,059.40
  6. Step 6: Final answer
    x = 515,556.30

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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.