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Finding the Fourth Proportional to 536,223.24, 739,905.84 and 309,825

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Solution

The fourth proportional to 536,223.24, 739,905.84 and 309,825 is: 427,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,223.24 : 739,905.84 = 309,825 : x
  2. Step 2: Convert to fraction form
    536,223.24/739,905.84 = 309,825/x
  3. Step 3: Cross multiply
    536,223.24x = 739,905.84 × 309,825
  4. Step 4: Simplify right side
    536,223.24x = 229,241,326,878
  5. Step 5: Solve for x
    x = 229,241,326,878/536,223.24
  6. Step 6: Final answer
    x = 427,510.99

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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.