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Finding the Fourth Proportional to 255,423.43, 383,135.22 and 105,498.94

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Solution

The fourth proportional to 255,423.43, 383,135.22 and 105,498.94 is: 158,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,423.43 : 383,135.22 = 105,498.94 : x
  2. Step 2: Convert to fraction form
    255,423.43/383,135.22 = 105,498.94/x
  3. Step 3: Cross multiply
    255,423.43x = 383,135.22 × 105,498.94
  4. Step 4: Simplify right side
    255,423.43x = 40,420,359,586.67
  5. Step 5: Solve for x
    x = 40,420,359,586.67/255,423.43
  6. Step 6: Final answer
    x = 158,248.44

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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.