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Finding the Fourth Proportional to 255,956.46, 383,990.72 and 78,477.32

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Solution

The fourth proportional to 255,956.46, 383,990.72 and 78,477.32 is: 117,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,956.46 : 383,990.72 = 78,477.32 : x
  2. Step 2: Convert to fraction form
    255,956.46/383,990.72 = 78,477.32/x
  3. Step 3: Cross multiply
    255,956.46x = 383,990.72 × 78,477.32
  4. Step 4: Simplify right side
    255,956.46x = 30,134,560,298.13
  5. Step 5: Solve for x
    x = 30,134,560,298.13/255,956.46
  6. Step 6: Final answer
    x = 117,733.15

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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.