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Finding the Fourth Proportional to 457,987.50, 632,023.02 and 279,139.50

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Solution

The fourth proportional to 457,987.50, 632,023.02 and 279,139.50 is: 385,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,987.50 : 632,023.02 = 279,139.50 : x
  2. Step 2: Convert to fraction form
    457,987.50/632,023.02 = 279,139.50/x
  3. Step 3: Cross multiply
    457,987.50x = 632,023.02 × 279,139.50
  4. Step 4: Simplify right side
    457,987.50x = 176,422,589,791.29
  5. Step 5: Solve for x
    x = 176,422,589,791.29/457,987.50
  6. Step 6: Final answer
    x = 385,212.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.