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Finding the Fourth Proportional to 530,687.84, 796,029.96 and 215,144

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Solution

The fourth proportional to 530,687.84, 796,029.96 and 215,144 is: 322,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,687.84 : 796,029.96 = 215,144 : x
  2. Step 2: Convert to fraction form
    530,687.84/796,029.96 = 215,144/x
  3. Step 3: Cross multiply
    530,687.84x = 796,029.96 × 215,144
  4. Step 4: Simplify right side
    530,687.84x = 171,261,069,714.24
  5. Step 5: Solve for x
    x = 171,261,069,714.24/530,687.84
  6. Step 6: Final answer
    x = 322,715.27

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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.