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Finding the Fourth Proportional to 512,489.76, 707,241.56 and 283,041.72

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Solution

The fourth proportional to 512,489.76, 707,241.56 and 283,041.72 is: 390,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,489.76 : 707,241.56 = 283,041.72 : x
  2. Step 2: Convert to fraction form
    512,489.76/707,241.56 = 283,041.72/x
  3. Step 3: Cross multiply
    512,489.76x = 707,241.56 × 283,041.72
  4. Step 4: Simplify right side
    512,489.76x = 200,178,867,597.88
  5. Step 5: Solve for x
    x = 200,178,867,597.88/512,489.76
  6. Step 6: Final answer
    x = 390,600.72

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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.