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Finding the Fourth Proportional to 289,205.60, 432,933.60 and 257,712.80

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Solution

The fourth proportional to 289,205.60, 432,933.60 and 257,712.80 is: 385,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,205.60 : 432,933.60 = 257,712.80 : x
  2. Step 2: Convert to fraction form
    289,205.60/432,933.60 = 257,712.80/x
  3. Step 3: Cross multiply
    289,205.60x = 432,933.60 × 257,712.80
  4. Step 4: Simplify right side
    289,205.60x = 111,572,530,270.08
  5. Step 5: Solve for x
    x = 111,572,530,270.08/289,205.60
  6. Step 6: Final answer
    x = 385,789.66

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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.