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Finding the Fourth Proportional to 516,895.88, 775,343.99 and 213,285.60

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Solution

The fourth proportional to 516,895.88, 775,343.99 and 213,285.60 is: 319,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,895.88 : 775,343.99 = 213,285.60 : x
  2. Step 2: Convert to fraction form
    516,895.88/775,343.99 = 213,285.60/x
  3. Step 3: Cross multiply
    516,895.88x = 775,343.99 × 213,285.60
  4. Step 4: Simplify right side
    516,895.88x = 165,369,707,047.12
  5. Step 5: Solve for x
    x = 165,369,707,047.12/516,895.88
  6. Step 6: Final answer
    x = 319,928.47

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1.5x scale

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.