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Finding the Fourth Proportional to 286,571.20, 429,856.80 and 263,826.40

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Solution

The fourth proportional to 286,571.20, 429,856.80 and 263,826.40 is: 395,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,571.20 : 429,856.80 = 263,826.40 : x
  2. Step 2: Convert to fraction form
    286,571.20/429,856.80 = 263,826.40/x
  3. Step 3: Cross multiply
    286,571.20x = 429,856.80 × 263,826.40
  4. Step 4: Simplify right side
    286,571.20x = 113,407,572,059.52
  5. Step 5: Solve for x
    x = 113,407,572,059.52/286,571.20
  6. Step 6: Final answer
    x = 395,739.60

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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.