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Finding the Fourth Proportional to 289,276.40, 433,914.60 and 259,824.80

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Solution

The fourth proportional to 289,276.40, 433,914.60 and 259,824.80 is: 389,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,276.40 : 433,914.60 = 259,824.80 : x
  2. Step 2: Convert to fraction form
    289,276.40/433,914.60 = 259,824.80/x
  3. Step 3: Cross multiply
    289,276.40x = 433,914.60 × 259,824.80
  4. Step 4: Simplify right side
    289,276.40x = 112,741,774,162.08
  5. Step 5: Solve for x
    x = 112,741,774,162.08/289,276.40
  6. Step 6: Final answer
    x = 389,737.20

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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.