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Finding the Fourth Proportional to 309,114.80, 463,234.80 and 271,498.40

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Solution

The fourth proportional to 309,114.80, 463,234.80 and 271,498.40 is: 406,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,114.80 : 463,234.80 = 271,498.40 : x
  2. Step 2: Convert to fraction form
    309,114.80/463,234.80 = 271,498.40/x
  3. Step 3: Cross multiply
    309,114.80x = 463,234.80 × 271,498.40
  4. Step 4: Simplify right side
    309,114.80x = 125,767,507,024.32
  5. Step 5: Solve for x
    x = 125,767,507,024.32/309,114.80
  6. Step 6: Final answer
    x = 406,863.43

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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.