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Finding the Fourth Proportional to 536,225.24, 739,908.60 and 309,827

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Solution

The fourth proportional to 536,225.24, 739,908.60 and 309,827 is: 427,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,225.24 : 739,908.60 = 309,827 : x
  2. Step 2: Convert to fraction form
    536,225.24/739,908.60 = 309,827/x
  3. Step 3: Cross multiply
    536,225.24x = 739,908.60 × 309,827
  4. Step 4: Simplify right side
    536,225.24x = 229,243,661,812.20
  5. Step 5: Solve for x
    x = 229,243,661,812.20/536,225.24
  6. Step 6: Final answer
    x = 427,513.75

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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.