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Finding the Fourth Proportional to 289,712.80, 433,694.40 and 254,720.80

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Solution

The fourth proportional to 289,712.80, 433,694.40 and 254,720.80 is: 381,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.80 : 433,694.40 = 254,720.80 : x
  2. Step 2: Convert to fraction form
    289,712.80/433,694.40 = 254,720.80/x
  3. Step 3: Cross multiply
    289,712.80x = 433,694.40 × 254,720.80
  4. Step 4: Simplify right side
    289,712.80x = 110,470,984,523.52
  5. Step 5: Solve for x
    x = 110,470,984,523.52/289,712.80
  6. Step 6: Final answer
    x = 381,312.06

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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.