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Finding the Fourth Proportional to 501,469.40, 691,859.46 and 286,457.24

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Solution

The fourth proportional to 501,469.40, 691,859.46 and 286,457.24 is: 395,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,469.40 : 691,859.46 = 286,457.24 : x
  2. Step 2: Convert to fraction form
    501,469.40/691,859.46 = 286,457.24/x
  3. Step 3: Cross multiply
    501,469.40x = 691,859.46 × 286,457.24
  4. Step 4: Simplify right side
    501,469.40x = 198,188,151,379.49
  5. Step 5: Solve for x
    x = 198,188,151,379.49/501,469.40
  6. Step 6: Final answer
    x = 395,214.85

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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.