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Finding the Fourth Proportional to 381,741.40, 572,612.10 and 346,720.60

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Solution

The fourth proportional to 381,741.40, 572,612.10 and 346,720.60 is: 520,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,741.40 : 572,612.10 = 346,720.60 : x
  2. Step 2: Convert to fraction form
    381,741.40/572,612.10 = 346,720.60/x
  3. Step 3: Cross multiply
    381,741.40x = 572,612.10 × 346,720.60
  4. Step 4: Simplify right side
    381,741.40x = 198,536,410,879.26
  5. Step 5: Solve for x
    x = 198,536,410,879.26/381,741.40
  6. Step 6: Final answer
    x = 520,080.90

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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.