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Finding the Fourth Proportional to 384,129.94, 575,728.35 and 271,843.18

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Solution

The fourth proportional to 384,129.94, 575,728.35 and 271,843.18 is: 407,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,129.94 : 575,728.35 = 271,843.18 : x
  2. Step 2: Convert to fraction form
    384,129.94/575,728.35 = 271,843.18/x
  3. Step 3: Cross multiply
    384,129.94x = 575,728.35 × 271,843.18
  4. Step 4: Simplify right side
    384,129.94x = 156,507,825,480.15
  5. Step 5: Solve for x
    x = 156,507,825,480.15/384,129.94
  6. Step 6: Final answer
    x = 407,434.59

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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.