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Finding the Fourth Proportional to 355,223.88, 532,839.96 and 102,509.28

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Solution

The fourth proportional to 355,223.88, 532,839.96 and 102,509.28 is: 153,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,223.88 : 532,839.96 = 102,509.28 : x
  2. Step 2: Convert to fraction form
    355,223.88/532,839.96 = 102,509.28/x
  3. Step 3: Cross multiply
    355,223.88x = 532,839.96 × 102,509.28
  4. Step 4: Simplify right side
    355,223.88x = 54,621,040,654.83
  5. Step 5: Solve for x
    x = 54,621,040,654.83/355,223.88
  6. Step 6: Final answer
    x = 153,765.11

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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.