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Finding the Fourth Proportional to 578,708.71, 798,609.34 and 320,584.84

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Solution

The fourth proportional to 578,708.71, 798,609.34 and 320,584.84 is: 442,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,708.71 : 798,609.34 = 320,584.84 : x
  2. Step 2: Convert to fraction form
    578,708.71/798,609.34 = 320,584.84/x
  3. Step 3: Cross multiply
    578,708.71x = 798,609.34 × 320,584.84
  4. Step 4: Simplify right side
    578,708.71x = 256,022,047,486.41
  5. Step 5: Solve for x
    x = 256,022,047,486.41/578,708.71
  6. Step 6: Final answer
    x = 442,402.27

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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.