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Finding the Fourth Proportional to 384,792.39, 576,625.43 and 216,640.81

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Solution

The fourth proportional to 384,792.39, 576,625.43 and 216,640.81 is: 324,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,792.39 : 576,625.43 = 216,640.81 : x
  2. Step 2: Convert to fraction form
    384,792.39/576,625.43 = 216,640.81/x
  3. Step 3: Cross multiply
    384,792.39x = 576,625.43 × 216,640.81
  4. Step 4: Simplify right side
    384,792.39x = 124,920,601,484.18
  5. Step 5: Solve for x
    x = 124,920,601,484.18/384,792.39
  6. Step 6: Final answer
    x = 324,644.16

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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.