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Finding the Fourth Proportional to 390,469.80, 585,704.70 and 257,500.20

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Solution

The fourth proportional to 390,469.80, 585,704.70 and 257,500.20 is: 386,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,469.80 : 585,704.70 = 257,500.20 : x
  2. Step 2: Convert to fraction form
    390,469.80/585,704.70 = 257,500.20/x
  3. Step 3: Cross multiply
    390,469.80x = 585,704.70 × 257,500.20
  4. Step 4: Simplify right side
    390,469.80x = 150,819,077,390.94
  5. Step 5: Solve for x
    x = 150,819,077,390.94/390,469.80
  6. Step 6: Final answer
    x = 386,250.30

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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.