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Finding the Fourth Proportional to 659,834.13, 910,571.09 and 358,028.13

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Solution

The fourth proportional to 659,834.13, 910,571.09 and 358,028.13 is: 494,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,834.13 : 910,571.09 = 358,028.13 : x
  2. Step 2: Convert to fraction form
    659,834.13/910,571.09 = 358,028.13/x
  3. Step 3: Cross multiply
    659,834.13x = 910,571.09 × 358,028.13
  4. Step 4: Simplify right side
    659,834.13x = 326,010,064,584.76
  5. Step 5: Solve for x
    x = 326,010,064,584.76/659,834.13
  6. Step 6: Final answer
    x = 494,078.81

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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.