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Finding the Fourth Proportional to 309,856.64, 427,991.91 and 255,605.40

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Solution

The fourth proportional to 309,856.64, 427,991.91 and 255,605.40 is: 353,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,856.64 : 427,991.91 = 255,605.40 : x
  2. Step 2: Convert to fraction form
    309,856.64/427,991.91 = 255,605.40/x
  3. Step 3: Cross multiply
    309,856.64x = 427,991.91 × 255,605.40
  4. Step 4: Simplify right side
    309,856.64x = 109,397,043,352.31
  5. Step 5: Solve for x
    x = 109,397,043,352.31/309,856.64
  6. Step 6: Final answer
    x = 353,056.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.