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Finding the Fourth Proportional to 513,958.30, 709,256.31 and 287,605.66

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Solution

The fourth proportional to 513,958.30, 709,256.31 and 287,605.66 is: 396,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,958.30 : 709,256.31 = 287,605.66 : x
  2. Step 2: Convert to fraction form
    513,958.30/709,256.31 = 287,605.66/x
  3. Step 3: Cross multiply
    513,958.30x = 709,256.31 × 287,605.66
  4. Step 4: Simplify right side
    513,958.30x = 203,986,129,146.72
  5. Step 5: Solve for x
    x = 203,986,129,146.72/513,958.30
  6. Step 6: Final answer
    x = 396,892.37

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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.