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Finding the Fourth Proportional to 288,009.60, 432,532.80 and 209,212.80

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Solution

The fourth proportional to 288,009.60, 432,532.80 and 209,212.80 is: 314,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,009.60 : 432,532.80 = 209,212.80 : x
  2. Step 2: Convert to fraction form
    288,009.60/432,532.80 = 209,212.80/x
  3. Step 3: Cross multiply
    288,009.60x = 432,532.80 × 209,212.80
  4. Step 4: Simplify right side
    288,009.60x = 90,491,398,179.84
  5. Step 5: Solve for x
    x = 90,491,398,179.84/288,009.60
  6. Step 6: Final answer
    x = 314,195.77

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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.