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Finding the Fourth Proportional to 510,186.53, 705,028.44 and 382,640.69

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Solution

The fourth proportional to 510,186.53, 705,028.44 and 382,640.69 is: 528,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,186.53 : 705,028.44 = 382,640.69 : x
  2. Step 2: Convert to fraction form
    510,186.53/705,028.44 = 382,640.69/x
  3. Step 3: Cross multiply
    510,186.53x = 705,028.44 × 382,640.69
  4. Step 4: Simplify right side
    510,186.53x = 269,772,565,226.08
  5. Step 5: Solve for x
    x = 269,772,565,226.08/510,186.53
  6. Step 6: Final answer
    x = 528,772.42

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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.