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Finding the Fourth Proportional to 497,586.76, 686,643.82 and 282,697

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Solution

The fourth proportional to 497,586.76, 686,643.82 and 282,697 is: 390,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,586.76 : 686,643.82 = 282,697 : x
  2. Step 2: Convert to fraction form
    497,586.76/686,643.82 = 282,697/x
  3. Step 3: Cross multiply
    497,586.76x = 686,643.82 × 282,697
  4. Step 4: Simplify right side
    497,586.76x = 194,112,147,982.54
  5. Step 5: Solve for x
    x = 194,112,147,982.54/497,586.76
  6. Step 6: Final answer
    x = 390,107.14

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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.