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Finding the Fourth Proportional to 501,009.84, 691,379.28 and 286,145.46

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Solution

The fourth proportional to 501,009.84, 691,379.28 and 286,145.46 is: 394,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,009.84 : 691,379.28 = 286,145.46 : x
  2. Step 2: Convert to fraction form
    501,009.84/691,379.28 = 286,145.46/x
  3. Step 3: Cross multiply
    501,009.84x = 691,379.28 × 286,145.46
  4. Step 4: Simplify right side
    501,009.84x = 197,835,042,110.07
  5. Step 5: Solve for x
    x = 197,835,042,110.07/501,009.84
  6. Step 6: Final answer
    x = 394,872.57

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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.