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Finding the Fourth Proportional to 355,381.20, 533,320.86 and 205,415.11

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Solution

The fourth proportional to 355,381.20, 533,320.86 and 205,415.11 is: 308,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,381.20 : 533,320.86 = 205,415.11 : x
  2. Step 2: Convert to fraction form
    355,381.20/533,320.86 = 205,415.11/x
  3. Step 3: Cross multiply
    355,381.20x = 533,320.86 × 205,415.11
  4. Step 4: Simplify right side
    355,381.20x = 109,552,163,122.20
  5. Step 5: Solve for x
    x = 109,552,163,122.20/355,381.20
  6. Step 6: Final answer
    x = 308,266.63

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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.