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Finding the Fourth Proportional to 509,928.96, 765,150.48 and 361,125.60

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Solution

The fourth proportional to 509,928.96, 765,150.48 and 361,125.60 is: 541,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,928.96 : 765,150.48 = 361,125.60 : x
  2. Step 2: Convert to fraction form
    509,928.96/765,150.48 = 361,125.60/x
  3. Step 3: Cross multiply
    509,928.96x = 765,150.48 × 361,125.60
  4. Step 4: Simplify right side
    509,928.96x = 276,315,426,180.29
  5. Step 5: Solve for x
    x = 276,315,426,180.29/509,928.96
  6. Step 6: Final answer
    x = 541,870.43

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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.