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Finding the Fourth Proportional to 321,827.60, 482,827.80 and 287,008.40

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Solution

The fourth proportional to 321,827.60, 482,827.80 and 287,008.40 is: 430,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,827.60 : 482,827.80 = 287,008.40 : x
  2. Step 2: Convert to fraction form
    321,827.60/482,827.80 = 287,008.40/x
  3. Step 3: Cross multiply
    321,827.60x = 482,827.80 × 287,008.40
  4. Step 4: Simplify right side
    321,827.60x = 138,575,634,353.52
  5. Step 5: Solve for x
    x = 138,575,634,353.52/321,827.60
  6. Step 6: Final answer
    x = 430,589.65

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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.