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Finding the Fourth Proportional to 381,612.80, 572,419.20 and 338,310.20

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Solution

The fourth proportional to 381,612.80, 572,419.20 and 338,310.20 is: 507,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,612.80 : 572,419.20 = 338,310.20 : x
  2. Step 2: Convert to fraction form
    381,612.80/572,419.20 = 338,310.20/x
  3. Step 3: Cross multiply
    381,612.80x = 572,419.20 × 338,310.20
  4. Step 4: Simplify right side
    381,612.80x = 193,655,254,035.84
  5. Step 5: Solve for x
    x = 193,655,254,035.84/381,612.80
  6. Step 6: Final answer
    x = 507,465.30

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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.