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Finding the Fourth Proportional to 255,621.20, 383,143.80 and 122,565.20

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Solution

The fourth proportional to 255,621.20, 383,143.80 and 122,565.20 is: 183,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,621.20 : 383,143.80 = 122,565.20 : x
  2. Step 2: Convert to fraction form
    255,621.20/383,143.80 = 122,565.20/x
  3. Step 3: Cross multiply
    255,621.20x = 383,143.80 × 122,565.20
  4. Step 4: Simplify right side
    255,621.20x = 46,960,096,475.76
  5. Step 5: Solve for x
    x = 46,960,096,475.76/255,621.20
  6. Step 6: Final answer
    x = 183,709.71

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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.