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Finding the Fourth Proportional to 516,414.76, 712,453.20 and 380,770.60

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Solution

The fourth proportional to 516,414.76, 712,453.20 and 380,770.60 is: 525,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,414.76 : 712,453.20 = 380,770.60 : x
  2. Step 2: Convert to fraction form
    516,414.76/712,453.20 = 380,770.60/x
  3. Step 3: Cross multiply
    516,414.76x = 712,453.20 × 380,770.60
  4. Step 4: Simplify right side
    516,414.76x = 271,281,232,435.92
  5. Step 5: Solve for x
    x = 271,281,232,435.92/516,414.76
  6. Step 6: Final answer
    x = 525,316.57

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Double scale
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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.