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Finding the Fourth Proportional to 578,709.71, 798,610.72 and 320,585.84

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Solution

The fourth proportional to 578,709.71, 798,610.72 and 320,585.84 is: 442,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,709.71 : 798,610.72 = 320,585.84 : x
  2. Step 2: Convert to fraction form
    578,709.71/798,610.72 = 320,585.84/x
  3. Step 3: Cross multiply
    578,709.71x = 798,610.72 × 320,585.84
  4. Step 4: Simplify right side
    578,709.71x = 256,023,288,504.21
  5. Step 5: Solve for x
    x = 256,023,288,504.21/578,709.71
  6. Step 6: Final answer
    x = 442,403.65

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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.