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Finding the Fourth Proportional to 326,314.20, 488,823.30 and 287,347.80

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Solution

The fourth proportional to 326,314.20, 488,823.30 and 287,347.80 is: 430,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,314.20 : 488,823.30 = 287,347.80 : x
  2. Step 2: Convert to fraction form
    326,314.20/488,823.30 = 287,347.80/x
  3. Step 3: Cross multiply
    326,314.20x = 488,823.30 × 287,347.80
  4. Step 4: Simplify right side
    326,314.20x = 140,462,299,843.74
  5. Step 5: Solve for x
    x = 140,462,299,843.74/326,314.20
  6. Step 6: Final answer
    x = 430,451.08

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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.