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Finding the Fourth Proportional to 256,042.40, 383,372.40 and 200,746.40

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Solution

The fourth proportional to 256,042.40, 383,372.40 and 200,746.40 is: 300,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042.40 : 383,372.40 = 200,746.40 : x
  2. Step 2: Convert to fraction form
    256,042.40/383,372.40 = 200,746.40/x
  3. Step 3: Cross multiply
    256,042.40x = 383,372.40 × 200,746.40
  4. Step 4: Simplify right side
    256,042.40x = 76,960,629,159.36
  5. Step 5: Solve for x
    x = 76,960,629,159.36/256,042.40
  6. Step 6: Final answer
    x = 300,577.67

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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.