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Finding the Fourth Proportional to 381,610.80, 572,416.20 and 338,308.20

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Solution

The fourth proportional to 381,610.80, 572,416.20 and 338,308.20 is: 507,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,610.80 : 572,416.20 = 338,308.20 : x
  2. Step 2: Convert to fraction form
    381,610.80/572,416.20 = 338,308.20/x
  3. Step 3: Cross multiply
    381,610.80x = 572,416.20 × 338,308.20
  4. Step 4: Simplify right side
    381,610.80x = 193,653,094,272.84
  5. Step 5: Solve for x
    x = 193,653,094,272.84/381,610.80
  6. Step 6: Final answer
    x = 507,462.30

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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.