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Finding the Fourth Proportional to 472,074.30, 708,406.70 and 191,591.55

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Solution

The fourth proportional to 472,074.30, 708,406.70 and 191,591.55 is: 287,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,074.30 : 708,406.70 = 191,591.55 : x
  2. Step 2: Convert to fraction form
    472,074.30/708,406.70 = 191,591.55/x
  3. Step 3: Cross multiply
    472,074.30x = 708,406.70 × 191,591.55
  4. Step 4: Simplify right side
    472,074.30x = 135,724,736,725.43
  5. Step 5: Solve for x
    x = 135,724,736,725.43/472,074.30
  6. Step 6: Final answer
    x = 287,507.15

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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.