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Finding the Fourth Proportional to 289,722.80, 433,709.40 and 254,730.80

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Solution

The fourth proportional to 289,722.80, 433,709.40 and 254,730.80 is: 381,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,722.80 : 433,709.40 = 254,730.80 : x
  2. Step 2: Convert to fraction form
    289,722.80/433,709.40 = 254,730.80/x
  3. Step 3: Cross multiply
    289,722.80x = 433,709.40 × 254,730.80
  4. Step 4: Simplify right side
    289,722.80x = 110,479,142,429.52
  5. Step 5: Solve for x
    x = 110,479,142,429.52/289,722.80
  6. Step 6: Final answer
    x = 381,327.06

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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.