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Finding the Fourth Proportional to 255,649.10, 383,472.03 and 78,155.42

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Solution

The fourth proportional to 255,649.10, 383,472.03 and 78,155.42 is: 117,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,649.10 : 383,472.03 = 78,155.42 : x
  2. Step 2: Convert to fraction form
    255,649.10/383,472.03 = 78,155.42/x
  3. Step 3: Cross multiply
    255,649.10x = 383,472.03 × 78,155.42
  4. Step 4: Simplify right side
    255,649.10x = 29,970,417,562.90
  5. Step 5: Solve for x
    x = 29,970,417,562.90/255,649.10
  6. Step 6: Final answer
    x = 117,232.63

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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.