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Finding the Fourth Proportional to 387,289.60, 580,934.40 and 269,324.80

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Solution

The fourth proportional to 387,289.60, 580,934.40 and 269,324.80 is: 403,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,289.60 : 580,934.40 = 269,324.80 : x
  2. Step 2: Convert to fraction form
    387,289.60/580,934.40 = 269,324.80/x
  3. Step 3: Cross multiply
    387,289.60x = 580,934.40 × 269,324.80
  4. Step 4: Simplify right side
    387,289.60x = 156,460,041,093.12
  5. Step 5: Solve for x
    x = 156,460,041,093.12/387,289.60
  6. Step 6: Final answer
    x = 403,987.20

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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.