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Finding the Fourth Proportional to 516,832.64, 713,288.16 and 287,412.80

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Solution

The fourth proportional to 516,832.64, 713,288.16 and 287,412.80 is: 396,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,832.64 : 713,288.16 = 287,412.80 : x
  2. Step 2: Convert to fraction form
    516,832.64/713,288.16 = 287,412.80/x
  3. Step 3: Cross multiply
    516,832.64x = 713,288.16 × 287,412.80
  4. Step 4: Simplify right side
    516,832.64x = 205,008,147,272.45
  5. Step 5: Solve for x
    x = 205,008,147,272.45/516,832.64
  6. Step 6: Final answer
    x = 396,662.54

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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.