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Finding the Fourth Proportional to 516,707.64, 775,379.79 and 326,906.55

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Solution

The fourth proportional to 516,707.64, 775,379.79 and 326,906.55 is: 490,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,707.64 : 775,379.79 = 326,906.55 : x
  2. Step 2: Convert to fraction form
    516,707.64/775,379.79 = 326,906.55/x
  3. Step 3: Cross multiply
    516,707.64x = 775,379.79 × 326,906.55
  4. Step 4: Simplify right side
    516,707.64x = 253,476,732,088.63
  5. Step 5: Solve for x
    x = 253,476,732,088.63/516,707.64
  6. Step 6: Final answer
    x = 490,561.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.