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Finding the Fourth Proportional to 501,221.91, 691,622.51 and 286,375.89

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Solution

The fourth proportional to 501,221.91, 691,622.51 and 286,375.89 is: 395,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,221.91 : 691,622.51 = 286,375.89 : x
  2. Step 2: Convert to fraction form
    501,221.91/691,622.51 = 286,375.89/x
  3. Step 3: Cross multiply
    501,221.91x = 691,622.51 × 286,375.89
  4. Step 4: Simplify right side
    501,221.91x = 198,064,011,845.28
  5. Step 5: Solve for x
    x = 198,064,011,845.28/501,221.91
  6. Step 6: Final answer
    x = 395,162.32

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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.