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Finding the Fourth Proportional to 510,906.16, 705,072.30 and 284,551.68

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Solution

The fourth proportional to 510,906.16, 705,072.30 and 284,551.68 is: 392,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,906.16 : 705,072.30 = 284,551.68 : x
  2. Step 2: Convert to fraction form
    510,906.16/705,072.30 = 284,551.68/x
  3. Step 3: Cross multiply
    510,906.16x = 705,072.30 × 284,551.68
  4. Step 4: Simplify right side
    510,906.16x = 200,629,507,486.46
  5. Step 5: Solve for x
    x = 200,629,507,486.46/510,906.16
  6. Step 6: Final answer
    x = 392,693.46

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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.