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Finding the Fourth Proportional to 497,381.92, 686,362.56 and 282,493.76

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Solution

The fourth proportional to 497,381.92, 686,362.56 and 282,493.76 is: 389,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,381.92 : 686,362.56 = 282,493.76 : x
  2. Step 2: Convert to fraction form
    497,381.92/686,362.56 = 282,493.76/x
  3. Step 3: Cross multiply
    497,381.92x = 686,362.56 × 282,493.76
  4. Step 4: Simplify right side
    497,381.92x = 193,893,140,297.63
  5. Step 5: Solve for x
    x = 193,893,140,297.63/497,381.92
  6. Step 6: Final answer
    x = 389,827.48

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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.