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Finding the Fourth Proportional to 497,383.92, 686,365.38 and 282,495.78

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Solution

The fourth proportional to 497,383.92, 686,365.38 and 282,495.78 is: 389,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,383.92 : 686,365.38 = 282,495.78 : x
  2. Step 2: Convert to fraction form
    497,383.92/686,365.38 = 282,495.78/x
  3. Step 3: Cross multiply
    497,383.92x = 686,365.38 × 282,495.78
  4. Step 4: Simplify right side
    497,383.92x = 193,895,323,388.10
  5. Step 5: Solve for x
    x = 193,895,323,388.10/497,383.92
  6. Step 6: Final answer
    x = 389,830.30

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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.