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Finding the Fourth Proportional to 530,999.52, 796,499.28 and 309,228

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Solution

The fourth proportional to 530,999.52, 796,499.28 and 309,228 is: 463,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,999.52 : 796,499.28 = 309,228 : x
  2. Step 2: Convert to fraction form
    530,999.52/796,499.28 = 309,228/x
  3. Step 3: Cross multiply
    530,999.52x = 796,499.28 × 309,228
  4. Step 4: Simplify right side
    530,999.52x = 246,299,879,355.84
  5. Step 5: Solve for x
    x = 246,299,879,355.84/530,999.52
  6. Step 6: Final answer
    x = 463,842

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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.