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Finding the Fourth Proportional to 383,720.54, 575,980 and 282,632.71

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Solution

The fourth proportional to 383,720.54, 575,980 and 282,632.71 is: 424,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,720.54 : 575,980 = 282,632.71 : x
  2. Step 2: Convert to fraction form
    383,720.54/575,980 = 282,632.71/x
  3. Step 3: Cross multiply
    383,720.54x = 575,980 × 282,632.71
  4. Step 4: Simplify right side
    383,720.54x = 162,790,788,305.80
  5. Step 5: Solve for x
    x = 162,790,788,305.80/383,720.54
  6. Step 6: Final answer
    x = 424,243.09

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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.