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Finding the Fourth Proportional to 659,883, 910,640.97 and 358,077

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Solution

The fourth proportional to 659,883, 910,640.97 and 358,077 is: 494,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,883 : 910,640.97 = 358,077 : x
  2. Step 2: Convert to fraction form
    659,883/910,640.97 = 358,077/x
  3. Step 3: Cross multiply
    659,883x = 910,640.97 × 358,077
  4. Step 4: Simplify right side
    659,883x = 326,079,586,614.69
  5. Step 5: Solve for x
    x = 326,079,586,614.69/659,883
  6. Step 6: Final answer
    x = 494,147.58

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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.