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Finding the Fourth Proportional to 512,496.96, 707,245.60 and 286,142.40

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Solution

The fourth proportional to 512,496.96, 707,245.60 and 286,142.40 is: 394,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,496.96 : 707,245.60 = 286,142.40 : x
  2. Step 2: Convert to fraction form
    512,496.96/707,245.60 = 286,142.40/x
  3. Step 3: Cross multiply
    512,496.96x = 707,245.60 × 286,142.40
  4. Step 4: Simplify right side
    512,496.96x = 202,372,953,373.44
  5. Step 5: Solve for x
    x = 202,372,953,373.44/512,496.96
  6. Step 6: Final answer
    x = 394,876.40

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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.