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Finding the Fourth Proportional to 576,412.80, 795,416.64 and 321,780.12

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Solution

The fourth proportional to 576,412.80, 795,416.64 and 321,780.12 is: 444,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,412.80 : 795,416.64 = 321,780.12 : x
  2. Step 2: Convert to fraction form
    576,412.80/795,416.64 = 321,780.12/x
  3. Step 3: Cross multiply
    576,412.80x = 795,416.64 × 321,780.12
  4. Step 4: Simplify right side
    576,412.80x = 255,949,261,869.20
  5. Step 5: Solve for x
    x = 255,949,261,869.20/576,412.80
  6. Step 6: Final answer
    x = 444,038.13

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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.