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Finding the Fourth Proportional to 427,176.12, 640,741.98 and 127,659.12

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Solution

The fourth proportional to 427,176.12, 640,741.98 and 127,659.12 is: 191,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,176.12 : 640,741.98 = 127,659.12 : x
  2. Step 2: Convert to fraction form
    427,176.12/640,741.98 = 127,659.12/x
  3. Step 3: Cross multiply
    427,176.12x = 640,741.98 × 127,659.12
  4. Step 4: Simplify right side
    427,176.12x = 81,796,557,313.86
  5. Step 5: Solve for x
    x = 81,796,557,313.86/427,176.12
  6. Step 6: Final answer
    x = 191,482.05

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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.