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Finding the Fourth Proportional to 383,634, 575,534.07 and 146,976.69

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Solution

The fourth proportional to 383,634, 575,534.07 and 146,976.69 is: 220,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,634 : 575,534.07 = 146,976.69 : x
  2. Step 2: Convert to fraction form
    383,634/575,534.07 = 146,976.69/x
  3. Step 3: Cross multiply
    383,634x = 575,534.07 × 146,976.69
  4. Step 4: Simplify right side
    383,634x = 84,590,092,590.83
  5. Step 5: Solve for x
    x = 84,590,092,590.83/383,634
  6. Step 6: Final answer
    x = 220,496.86

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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.