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Finding the Fourth Proportional to 309,454.92, 464,186.50 and 99,092.88

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Solution

The fourth proportional to 309,454.92, 464,186.50 and 99,092.88 is: 148,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,454.92 : 464,186.50 = 99,092.88 : x
  2. Step 2: Convert to fraction form
    309,454.92/464,186.50 = 99,092.88/x
  3. Step 3: Cross multiply
    309,454.92x = 464,186.50 × 99,092.88
  4. Step 4: Simplify right side
    309,454.92x = 45,997,577,142.12
  5. Step 5: Solve for x
    x = 45,997,577,142.12/309,454.92
  6. Step 6: Final answer
    x = 148,640.64

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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.