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Finding the Fourth Proportional to 512,561.28, 707,667.12 and 458,752.98

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Solution

The fourth proportional to 512,561.28, 707,667.12 and 458,752.98 is: 633,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,561.28 : 707,667.12 = 458,752.98 : x
  2. Step 2: Convert to fraction form
    512,561.28/707,667.12 = 458,752.98/x
  3. Step 3: Cross multiply
    512,561.28x = 707,667.12 × 458,752.98
  4. Step 4: Simplify right side
    512,561.28x = 324,644,400,148.02
  5. Step 5: Solve for x
    x = 324,644,400,148.02/512,561.28
  6. Step 6: Final answer
    x = 633,376.75

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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.