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Finding the Fourth Proportional to 255,624.30, 383,436.45 and 143,649.90

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Solution

The fourth proportional to 255,624.30, 383,436.45 and 143,649.90 is: 215,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,624.30 : 383,436.45 = 143,649.90 : x
  2. Step 2: Convert to fraction form
    255,624.30/383,436.45 = 143,649.90/x
  3. Step 3: Cross multiply
    255,624.30x = 383,436.45 × 143,649.90
  4. Step 4: Simplify right side
    255,624.30x = 55,080,607,698.86
  5. Step 5: Solve for x
    x = 55,080,607,698.86/255,624.30
  6. Step 6: Final answer
    x = 215,474.85

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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.