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Finding the Fourth Proportional to 288,265.60, 432,835.80 and 221,780.80

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Solution

The fourth proportional to 288,265.60, 432,835.80 and 221,780.80 is: 333,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,265.60 : 432,835.80 = 221,780.80 : x
  2. Step 2: Convert to fraction form
    288,265.60/432,835.80 = 221,780.80/x
  3. Step 3: Cross multiply
    288,265.60x = 432,835.80 × 221,780.80
  4. Step 4: Simplify right side
    288,265.60x = 95,994,669,992.64
  5. Step 5: Solve for x
    x = 95,994,669,992.64/288,265.60
  6. Step 6: Final answer
    x = 333,007.72

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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.