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Finding the Fourth Proportional to 255,484.42, 383,271.66 and 105,640.75

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Solution

The fourth proportional to 255,484.42, 383,271.66 and 105,640.75 is: 158,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,484.42 : 383,271.66 = 105,640.75 : x
  2. Step 2: Convert to fraction form
    255,484.42/383,271.66 = 105,640.75/x
  3. Step 3: Cross multiply
    255,484.42x = 383,271.66 × 105,640.75
  4. Step 4: Simplify right side
    255,484.42x = 40,489,104,657.97
  5. Step 5: Solve for x
    x = 40,489,104,657.97/255,484.42
  6. Step 6: Final answer
    x = 158,479.74

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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.