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Finding the Fourth Proportional to 497,203.85, 686,123.16 and 303,935.24

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Solution

The fourth proportional to 497,203.85, 686,123.16 and 303,935.24 is: 419,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,203.85 : 686,123.16 = 303,935.24 : x
  2. Step 2: Convert to fraction form
    497,203.85/686,123.16 = 303,935.24/x
  3. Step 3: Cross multiply
    497,203.85x = 686,123.16 × 303,935.24
  4. Step 4: Simplify right side
    497,203.85x = 208,537,003,873.54
  5. Step 5: Solve for x
    x = 208,537,003,873.54/497,203.85
  6. Step 6: Final answer
    x = 419,419.53

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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.