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Finding the Fourth Proportional to 254,300.85, 381,451.28 and 209,977.65

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Solution

The fourth proportional to 254,300.85, 381,451.28 and 209,977.65 is: 314,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,300.85 : 381,451.28 = 209,977.65 : x
  2. Step 2: Convert to fraction form
    254,300.85/381,451.28 = 209,977.65/x
  3. Step 3: Cross multiply
    254,300.85x = 381,451.28 × 209,977.65
  4. Step 4: Simplify right side
    254,300.85x = 80,096,242,314.00
  5. Step 5: Solve for x
    x = 80,096,242,314.00/254,300.85
  6. Step 6: Final answer
    x = 314,966.48

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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.