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Finding the Fourth Proportional to 309,189.40, 463,784.10 and 256,045.30

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Solution

The fourth proportional to 309,189.40, 463,784.10 and 256,045.30 is: 384,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,189.40 : 463,784.10 = 256,045.30 : x
  2. Step 2: Convert to fraction form
    309,189.40/463,784.10 = 256,045.30/x
  3. Step 3: Cross multiply
    309,189.40x = 463,784.10 × 256,045.30
  4. Step 4: Simplify right side
    309,189.40x = 118,749,739,019.73
  5. Step 5: Solve for x
    x = 118,749,739,019.73/309,189.40
  6. Step 6: Final answer
    x = 384,067.95

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Similar ratio
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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.