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Finding the Fourth Proportional to 576,412.32, 795,528.96 and 321,780

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Solution

The fourth proportional to 576,412.32, 795,528.96 and 321,780 is: 444,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,412.32 : 795,528.96 = 321,780 : x
  2. Step 2: Convert to fraction form
    576,412.32/795,528.96 = 321,780/x
  3. Step 3: Cross multiply
    576,412.32x = 795,528.96 × 321,780
  4. Step 4: Simplify right side
    576,412.32x = 255,985,308,748.80
  5. Step 5: Solve for x
    x = 255,985,308,748.80/576,412.32
  6. Step 6: Final answer
    x = 444,101.04

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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.