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Finding the Fourth Proportional to 383,719.54, 575,978.50 and 282,631.71

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Solution

The fourth proportional to 383,719.54, 575,978.50 and 282,631.71 is: 424,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,719.54 : 575,978.50 = 282,631.71 : x
  2. Step 2: Convert to fraction form
    383,719.54/575,978.50 = 282,631.71/x
  3. Step 3: Cross multiply
    383,719.54x = 575,978.50 × 282,631.71
  4. Step 4: Simplify right side
    383,719.54x = 162,789,789,301.64
  5. Step 5: Solve for x
    x = 162,789,789,301.64/383,719.54
  6. Step 6: Final answer
    x = 424,241.60

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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.