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Finding the Fourth Proportional to 255,732.80, 383,138.40 and 208,731.20

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Solution

The fourth proportional to 255,732.80, 383,138.40 and 208,731.20 is: 312,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,732.80 : 383,138.40 = 208,731.20 : x
  2. Step 2: Convert to fraction form
    255,732.80/383,138.40 = 208,731.20/x
  3. Step 3: Cross multiply
    255,732.80x = 383,138.40 × 208,731.20
  4. Step 4: Simplify right side
    255,732.80x = 79,972,937,998.08
  5. Step 5: Solve for x
    x = 79,972,937,998.08/255,732.80
  6. Step 6: Final answer
    x = 312,720.69

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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.