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Finding the Fourth Proportional to 255,424.68, 383,137.11 and 105,500.21

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Solution

The fourth proportional to 255,424.68, 383,137.11 and 105,500.21 is: 158,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,424.68 : 383,137.11 = 105,500.21 : x
  2. Step 2: Convert to fraction form
    255,424.68/383,137.11 = 105,500.21/x
  3. Step 3: Cross multiply
    255,424.68x = 383,137.11 × 105,500.21
  4. Step 4: Simplify right side
    255,424.68x = 40,421,043,648.11
  5. Step 5: Solve for x
    x = 40,421,043,648.11/255,424.68
  6. Step 6: Final answer
    x = 158,250.34

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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.