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Finding the Fourth Proportional to 309,808.80, 464,713.20 and 275,983.20

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Solution

The fourth proportional to 309,808.80, 464,713.20 and 275,983.20 is: 413,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,808.80 : 464,713.20 = 275,983.20 : x
  2. Step 2: Convert to fraction form
    309,808.80/464,713.20 = 275,983.20/x
  3. Step 3: Cross multiply
    309,808.80x = 464,713.20 × 275,983.20
  4. Step 4: Simplify right side
    309,808.80x = 128,253,036,018.24
  5. Step 5: Solve for x
    x = 128,253,036,018.24/309,808.80
  6. Step 6: Final answer
    x = 413,974.80

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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.