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Finding the Fourth Proportional to 497,474.83, 686,517.57 and 282,626.68

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Solution

The fourth proportional to 497,474.83, 686,517.57 and 282,626.68 is: 390,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,474.83 : 686,517.57 = 282,626.68 : x
  2. Step 2: Convert to fraction form
    497,474.83/686,517.57 = 282,626.68/x
  3. Step 3: Cross multiply
    497,474.83x = 686,517.57 × 282,626.68
  4. Step 4: Simplify right side
    497,474.83x = 194,028,178,138.18
  5. Step 5: Solve for x
    x = 194,028,178,138.18/497,474.83
  6. Step 6: Final answer
    x = 390,026.12

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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.