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Finding the Fourth Proportional to 255,424.43, 383,136.72 and 105,499.94

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Solution

The fourth proportional to 255,424.43, 383,136.72 and 105,499.94 is: 158,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,424.43 : 383,136.72 = 105,499.94 : x
  2. Step 2: Convert to fraction form
    255,424.43/383,136.72 = 105,499.94/x
  3. Step 3: Cross multiply
    255,424.43x = 383,136.72 × 105,499.94
  4. Step 4: Simplify right side
    255,424.43x = 40,420,900,971.80
  5. Step 5: Solve for x
    x = 40,420,900,971.80/255,424.43
  6. Step 6: Final answer
    x = 158,249.94

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1.5x scale

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.