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Finding the Fourth Proportional to 384,021.90, 575,201.70 and 278,608.50

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Solution

The fourth proportional to 384,021.90, 575,201.70 and 278,608.50 is: 417,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,021.90 : 575,201.70 = 278,608.50 : x
  2. Step 2: Convert to fraction form
    384,021.90/575,201.70 = 278,608.50/x
  3. Step 3: Cross multiply
    384,021.90x = 575,201.70 × 278,608.50
  4. Step 4: Simplify right side
    384,021.90x = 160,256,082,834.45
  5. Step 5: Solve for x
    x = 160,256,082,834.45/384,021.90
  6. Step 6: Final answer
    x = 417,309.75

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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.