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Finding the Fourth Proportional to 385,578.37, 532,098 and 215,812.49

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Solution

The fourth proportional to 385,578.37, 532,098 and 215,812.49 is: 297,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,578.37 : 532,098 = 215,812.49 : x
  2. Step 2: Convert to fraction form
    385,578.37/532,098 = 215,812.49/x
  3. Step 3: Cross multiply
    385,578.37x = 532,098 × 215,812.49
  4. Step 4: Simplify right side
    385,578.37x = 114,833,395,634.27
  5. Step 5: Solve for x
    x = 114,833,395,634.27/385,578.37
  6. Step 6: Final answer
    x = 297,821.16

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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.