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Finding the Fourth Proportional to 500,858.40, 691,149.79 and 296,898.78

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Solution

The fourth proportional to 500,858.40, 691,149.79 and 296,898.78 is: 409,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,858.40 : 691,149.79 = 296,898.78 : x
  2. Step 2: Convert to fraction form
    500,858.40/691,149.79 = 296,898.78/x
  3. Step 3: Cross multiply
    500,858.40x = 691,149.79 × 296,898.78
  4. Step 4: Simplify right side
    500,858.40x = 205,201,529,448.26
  5. Step 5: Solve for x
    x = 205,201,529,448.26/500,858.40
  6. Step 6: Final answer
    x = 409,699.69

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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.