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Finding the Fourth Proportional to 516,912.36, 713,339.49 and 287,464.65

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Solution

The fourth proportional to 516,912.36, 713,339.49 and 287,464.65 is: 396,701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,912.36 : 713,339.49 = 287,464.65 : x
  2. Step 2: Convert to fraction form
    516,912.36/713,339.49 = 287,464.65/x
  3. Step 3: Cross multiply
    516,912.36x = 713,339.49 × 287,464.65
  4. Step 4: Simplify right side
    516,912.36x = 205,059,886,824.03
  5. Step 5: Solve for x
    x = 205,059,886,824.03/516,912.36
  6. Step 6: Final answer
    x = 396,701.46

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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.