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Finding the Fourth Proportional to 382,858.79, 528,489.29 and 287,640.46

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Solution

The fourth proportional to 382,858.79, 528,489.29 and 287,640.46 is: 397,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,858.79 : 528,489.29 = 287,640.46 : x
  2. Step 2: Convert to fraction form
    382,858.79/528,489.29 = 287,640.46/x
  3. Step 3: Cross multiply
    382,858.79x = 528,489.29 × 287,640.46
  4. Step 4: Simplify right side
    382,858.79x = 152,014,899,721.25
  5. Step 5: Solve for x
    x = 152,014,899,721.25/382,858.79
  6. Step 6: Final answer
    x = 397,052.13

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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.